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Finding the Fourth Proportional to 502.06, 752.55 and 258.25

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Solution

The fourth proportional to 502.06, 752.55 and 258.25 is: 387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.06 : 752.55 = 258.25 : x
  2. Step 2: Convert to fraction form
    502.06/752.55 = 258.25/x
  3. Step 3: Cross multiply
    502.06x = 752.55 × 258.25
  4. Step 4: Simplify right side
    502.06x = 194,346.04
  5. Step 5: Solve for x
    x = 194,346.04/502.06
  6. Step 6: Final answer
    x = 387.10

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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.