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Finding the Fourth Proportional to 476.07, 713.42 and 232.32

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Solution

The fourth proportional to 476.07, 713.42 and 232.32 is: 348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.07 : 713.42 = 232.32 : x
  2. Step 2: Convert to fraction form
    476.07/713.42 = 232.32/x
  3. Step 3: Cross multiply
    476.07x = 713.42 × 232.32
  4. Step 4: Simplify right side
    476.07x = 165,740.57
  5. Step 5: Solve for x
    x = 165,740.57/476.07
  6. Step 6: Final answer
    x = 348.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.