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Finding the Fourth Proportional to 410.34, 565.59 and 292.35

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Solution

The fourth proportional to 410.34, 565.59 and 292.35 is: 402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.34 : 565.59 = 292.35 : x
  2. Step 2: Convert to fraction form
    410.34/565.59 = 292.35/x
  3. Step 3: Cross multiply
    410.34x = 565.59 × 292.35
  4. Step 4: Simplify right side
    410.34x = 165,350.24
  5. Step 5: Solve for x
    x = 165,350.24/410.34
  6. Step 6: Final answer
    x = 402.96

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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.