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Finding the Fourth Proportional to 501.24, 752.10 and 257.79

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Solution

The fourth proportional to 501.24, 752.10 and 257.79 is: 386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.24 : 752.10 = 257.79 : x
  2. Step 2: Convert to fraction form
    501.24/752.10 = 257.79/x
  3. Step 3: Cross multiply
    501.24x = 752.10 × 257.79
  4. Step 4: Simplify right side
    501.24x = 193,883.86
  5. Step 5: Solve for x
    x = 193,883.86/501.24
  6. Step 6: Final answer
    x = 386.81

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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.