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Finding the Fourth Proportional to 508.97, 763.46 and 184.16

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Solution

The fourth proportional to 508.97, 763.46 and 184.16 is: 276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.97 : 763.46 = 184.16 : x
  2. Step 2: Convert to fraction form
    508.97/763.46 = 184.16/x
  3. Step 3: Cross multiply
    508.97x = 763.46 × 184.16
  4. Step 4: Simplify right side
    508.97x = 140,594.06
  5. Step 5: Solve for x
    x = 140,594.06/508.97
  6. Step 6: Final answer
    x = 276.24

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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.