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Finding the Fourth Proportional to 534.60, 737.58 and 410.04

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Solution

The fourth proportional to 534.60, 737.58 and 410.04 is: 565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.60 : 737.58 = 410.04 : x
  2. Step 2: Convert to fraction form
    534.60/737.58 = 410.04/x
  3. Step 3: Cross multiply
    534.60x = 737.58 × 410.04
  4. Step 4: Simplify right side
    534.60x = 302,437.30
  5. Step 5: Solve for x
    x = 302,437.30/534.60
  6. Step 6: Final answer
    x = 565.73

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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.