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Finding the Fourth Proportional to 534.16, 796.70 and 460.20

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Solution

The fourth proportional to 534.16, 796.70 and 460.20 is: 686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.16 : 796.70 = 460.20 : x
  2. Step 2: Convert to fraction form
    534.16/796.70 = 460.20/x
  3. Step 3: Cross multiply
    534.16x = 796.70 × 460.20
  4. Step 4: Simplify right side
    534.16x = 366,641.00
  5. Step 5: Solve for x
    x = 366,641.00/534.16
  6. Step 6: Final answer
    x = 686.39

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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.