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Finding the Fourth Proportional to 476.39, 715.05 and 233.12

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Solution

The fourth proportional to 476.39, 715.05 and 233.12 is: 349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.39 : 715.05 = 233.12 : x
  2. Step 2: Convert to fraction form
    476.39/715.05 = 233.12/x
  3. Step 3: Cross multiply
    476.39x = 715.05 × 233.12
  4. Step 4: Simplify right side
    476.39x = 166,688.88
  5. Step 5: Solve for x
    x = 166,688.88/476.39
  6. Step 6: Final answer
    x = 349.90

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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.