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Finding the Fourth Proportional to 534.93, 801.10 and 274.24

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Solution

The fourth proportional to 534.93, 801.10 and 274.24 is: 410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.93 : 801.10 = 274.24 : x
  2. Step 2: Convert to fraction form
    534.93/801.10 = 274.24/x
  3. Step 3: Cross multiply
    534.93x = 801.10 × 274.24
  4. Step 4: Simplify right side
    534.93x = 219,693.66
  5. Step 5: Solve for x
    x = 219,693.66/534.93
  6. Step 6: Final answer
    x = 410.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.