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Finding the Fourth Proportional to 476.76, 715.14 and 233.24

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Solution

The fourth proportional to 476.76, 715.14 and 233.24 is: 349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.76 : 715.14 = 233.24 : x
  2. Step 2: Convert to fraction form
    476.76/715.14 = 233.24/x
  3. Step 3: Cross multiply
    476.76x = 715.14 × 233.24
  4. Step 4: Simplify right side
    476.76x = 166,799.25
  5. Step 5: Solve for x
    x = 166,799.25/476.76
  6. Step 6: Final answer
    x = 349.86

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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.