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Finding the Fourth Proportional to 476.25, 713.85 and 242.16

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Solution

The fourth proportional to 476.25, 713.85 and 242.16 is: 362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.25 : 713.85 = 242.16 : x
  2. Step 2: Convert to fraction form
    476.25/713.85 = 242.16/x
  3. Step 3: Cross multiply
    476.25x = 713.85 × 242.16
  4. Step 4: Simplify right side
    476.25x = 172,865.92
  5. Step 5: Solve for x
    x = 172,865.92/476.25
  6. Step 6: Final answer
    x = 362.97

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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.