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Finding the Fourth Proportional to 476.62, 715.28 and 188.14

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Solution

The fourth proportional to 476.62, 715.28 and 188.14 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.62 : 715.28 = 188.14 : x
  2. Step 2: Convert to fraction form
    476.62/715.28 = 188.14/x
  3. Step 3: Cross multiply
    476.62x = 715.28 × 188.14
  4. Step 4: Simplify right side
    476.62x = 134,572.78
  5. Step 5: Solve for x
    x = 134,572.78/476.62
  6. Step 6: Final answer
    x = 282.35

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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.