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Finding the Fourth Proportional to 501.45, 752.17 and 258.04

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Solution

The fourth proportional to 501.45, 752.17 and 258.04 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.45 : 752.17 = 258.04 : x
  2. Step 2: Convert to fraction form
    501.45/752.17 = 258.04/x
  3. Step 3: Cross multiply
    501.45x = 752.17 × 258.04
  4. Step 4: Simplify right side
    501.45x = 194,089.95
  5. Step 5: Solve for x
    x = 194,089.95/501.45
  6. Step 6: Final answer
    x = 387.06

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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.