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Finding the Fourth Proportional to 602.23, 830.94 and 340.23

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Solution

The fourth proportional to 602.23, 830.94 and 340.23 is: 469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.23 : 830.94 = 340.23 : x
  2. Step 2: Convert to fraction form
    602.23/830.94 = 340.23/x
  3. Step 3: Cross multiply
    602.23x = 830.94 × 340.23
  4. Step 4: Simplify right side
    602.23x = 282,710.72
  5. Step 5: Solve for x
    x = 282,710.72/602.23
  6. Step 6: Final answer
    x = 469.44

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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.