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Finding the Fourth Proportional to 501.48, 753.56 and 306.48

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Solution

The fourth proportional to 501.48, 753.56 and 306.48 is: 460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.48 : 753.56 = 306.48 : x
  2. Step 2: Convert to fraction form
    501.48/753.56 = 306.48/x
  3. Step 3: Cross multiply
    501.48x = 753.56 × 306.48
  4. Step 4: Simplify right side
    501.48x = 230,951.07
  5. Step 5: Solve for x
    x = 230,951.07/501.48
  6. Step 6: Final answer
    x = 460.54

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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.