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Finding the Fourth Proportional to 534.30, 737.66 and 409.72

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Solution

The fourth proportional to 534.30, 737.66 and 409.72 is: 565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.30 : 737.66 = 409.72 : x
  2. Step 2: Convert to fraction form
    534.30/737.66 = 409.72/x
  3. Step 3: Cross multiply
    534.30x = 737.66 × 409.72
  4. Step 4: Simplify right side
    534.30x = 302,234.06
  5. Step 5: Solve for x
    x = 302,234.06/534.30
  6. Step 6: Final answer
    x = 565.66

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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.