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Finding the Fourth Proportional to 501.55, 752.46 and 258.24

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Solution

The fourth proportional to 501.55, 752.46 and 258.24 is: 387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.55 : 752.46 = 258.24 : x
  2. Step 2: Convert to fraction form
    501.55/752.46 = 258.24/x
  3. Step 3: Cross multiply
    501.55x = 752.46 × 258.24
  4. Step 4: Simplify right side
    501.55x = 194,315.27
  5. Step 5: Solve for x
    x = 194,315.27/501.55
  6. Step 6: Final answer
    x = 387.43

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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.