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Finding the Fourth Proportional to 501.40, 752.12 and 257.86

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Solution

The fourth proportional to 501.40, 752.12 and 257.86 is: 386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.40 : 752.12 = 257.86 : x
  2. Step 2: Convert to fraction form
    501.40/752.12 = 257.86/x
  3. Step 3: Cross multiply
    501.40x = 752.12 × 257.86
  4. Step 4: Simplify right side
    501.40x = 193,941.66
  5. Step 5: Solve for x
    x = 193,941.66/501.40
  6. Step 6: Final answer
    x = 386.80

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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.