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Finding the Fourth Proportional to 501.70, 752.56 and 177.10

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Solution

The fourth proportional to 501.70, 752.56 and 177.10 is: 265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.70 : 752.56 = 177.10 : x
  2. Step 2: Convert to fraction form
    501.70/752.56 = 177.10/x
  3. Step 3: Cross multiply
    501.70x = 752.56 × 177.10
  4. Step 4: Simplify right side
    501.70x = 133,278.38
  5. Step 5: Solve for x
    x = 133,278.38/501.70
  6. Step 6: Final answer
    x = 265.65

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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.