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Finding the Fourth Proportional to 602.19, 830.12 and 470.97

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Solution

The fourth proportional to 602.19, 830.12 and 470.97 is: 649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.19 : 830.12 = 470.97 : x
  2. Step 2: Convert to fraction form
    602.19/830.12 = 470.97/x
  3. Step 3: Cross multiply
    602.19x = 830.12 × 470.97
  4. Step 4: Simplify right side
    602.19x = 390,959.26
  5. Step 5: Solve for x
    x = 390,959.26/602.19
  6. Step 6: Final answer
    x = 649.23

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.