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Finding the Fourth Proportional to 534.63, 737.40 and 410.04

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Solution

The fourth proportional to 534.63, 737.40 and 410.04 is: 565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.63 : 737.40 = 410.04 : x
  2. Step 2: Convert to fraction form
    534.63/737.40 = 410.04/x
  3. Step 3: Cross multiply
    534.63x = 737.40 × 410.04
  4. Step 4: Simplify right side
    534.63x = 302,363.50
  5. Step 5: Solve for x
    x = 302,363.50/534.63
  6. Step 6: Final answer
    x = 565.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.