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Finding the Fourth Proportional to 557.38, 769.48 and 432.76

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Solution

The fourth proportional to 557.38, 769.48 and 432.76 is: 597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.38 : 769.48 = 432.76 : x
  2. Step 2: Convert to fraction form
    557.38/769.48 = 432.76/x
  3. Step 3: Cross multiply
    557.38x = 769.48 × 432.76
  4. Step 4: Simplify right side
    557.38x = 333,000.16
  5. Step 5: Solve for x
    x = 333,000.16/557.38
  6. Step 6: Final answer
    x = 597.44

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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.