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Finding the Fourth Proportional to 468.29, 701.76 and 365.12

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Solution

The fourth proportional to 468.29, 701.76 and 365.12 is: 547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.29 : 701.76 = 365.12 : x
  2. Step 2: Convert to fraction form
    468.29/701.76 = 365.12/x
  3. Step 3: Cross multiply
    468.29x = 701.76 × 365.12
  4. Step 4: Simplify right side
    468.29x = 256,223.10
  5. Step 5: Solve for x
    x = 256,223.10/468.29
  6. Step 6: Final answer
    x = 547.15

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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.