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Finding the Fourth Proportional to 432.38, 595.69 and 409.30

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Solution

The fourth proportional to 432.38, 595.69 and 409.30 is: 563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.38 : 595.69 = 409.30 : x
  2. Step 2: Convert to fraction form
    432.38/595.69 = 409.30/x
  3. Step 3: Cross multiply
    432.38x = 595.69 × 409.30
  4. Step 4: Simplify right side
    432.38x = 243,813.40
  5. Step 5: Solve for x
    x = 243,813.40/432.38
  6. Step 6: Final answer
    x = 563.88

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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.