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Finding the Fourth Proportional to 534.34, 797.77 and 501.53

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Solution

The fourth proportional to 534.34, 797.77 and 501.53 is: 748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.34 : 797.77 = 501.53 : x
  2. Step 2: Convert to fraction form
    534.34/797.77 = 501.53/x
  3. Step 3: Cross multiply
    534.34x = 797.77 × 501.53
  4. Step 4: Simplify right side
    534.34x = 400,105.59
  5. Step 5: Solve for x
    x = 400,105.59/534.34
  6. Step 6: Final answer
    x = 748.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.