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Finding the Fourth Proportional to 501.59, 752.38 and 257.99

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Solution

The fourth proportional to 501.59, 752.38 and 257.99 is: 386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.59 : 752.38 = 257.99 : x
  2. Step 2: Convert to fraction form
    501.59/752.38 = 257.99/x
  3. Step 3: Cross multiply
    501.59x = 752.38 × 257.99
  4. Step 4: Simplify right side
    501.59x = 194,102.11
  5. Step 5: Solve for x
    x = 194,102.11/501.59
  6. Step 6: Final answer
    x = 386.97

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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.