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Finding the Fourth Proportional to 502.39, 692.92 and 432.57

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Solution

The fourth proportional to 502.39, 692.92 and 432.57 is: 596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.39 : 692.92 = 432.57 : x
  2. Step 2: Convert to fraction form
    502.39/692.92 = 432.57/x
  3. Step 3: Cross multiply
    502.39x = 692.92 × 432.57
  4. Step 4: Simplify right side
    502.39x = 299,734.24
  5. Step 5: Solve for x
    x = 299,734.24/502.39
  6. Step 6: Final answer
    x = 596.62

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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.