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Finding the Fourth Proportional to 534.97, 737.80 and 410.93

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Solution

The fourth proportional to 534.97, 737.80 and 410.93 is: 566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.97 : 737.80 = 410.93 : x
  2. Step 2: Convert to fraction form
    534.97/737.80 = 410.93/x
  3. Step 3: Cross multiply
    534.97x = 737.80 × 410.93
  4. Step 4: Simplify right side
    534.97x = 303,184.15
  5. Step 5: Solve for x
    x = 303,184.15/534.97
  6. Step 6: Final answer
    x = 566.73

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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.