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Finding the Fourth Proportional to 602.76, 832.39 and 470.35

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Solution

The fourth proportional to 602.76, 832.39 and 470.35 is: 649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 832.39 = 470.35 : x
  2. Step 2: Convert to fraction form
    602.76/832.39 = 470.35/x
  3. Step 3: Cross multiply
    602.76x = 832.39 × 470.35
  4. Step 4: Simplify right side
    602.76x = 391,514.64
  5. Step 5: Solve for x
    x = 391,514.64/602.76
  6. Step 6: Final answer
    x = 649.54

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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.