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Finding the Fourth Proportional to 501.30, 751.86 and 172.20

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Solution

The fourth proportional to 501.30, 751.86 and 172.20 is: 258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 751.86 = 172.20 : x
  2. Step 2: Convert to fraction form
    501.30/751.86 = 172.20/x
  3. Step 3: Cross multiply
    501.30x = 751.86 × 172.20
  4. Step 4: Simplify right side
    501.30x = 129,470.29
  5. Step 5: Solve for x
    x = 129,470.29/501.30
  6. Step 6: Final answer
    x = 258.27

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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.