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Finding the Fourth Proportional to 501.52, 752.30 and 172.45

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Solution

The fourth proportional to 501.52, 752.30 and 172.45 is: 258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.52 : 752.30 = 172.45 : x
  2. Step 2: Convert to fraction form
    501.52/752.30 = 172.45/x
  3. Step 3: Cross multiply
    501.52x = 752.30 × 172.45
  4. Step 4: Simplify right side
    501.52x = 129,734.14
  5. Step 5: Solve for x
    x = 129,734.14/501.52
  6. Step 6: Final answer
    x = 258.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.