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Finding the Fourth Proportional to 476.17, 713.14 and 459.75

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Solution

The fourth proportional to 476.17, 713.14 and 459.75 is: 688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.17 : 713.14 = 459.75 : x
  2. Step 2: Convert to fraction form
    476.17/713.14 = 459.75/x
  3. Step 3: Cross multiply
    476.17x = 713.14 × 459.75
  4. Step 4: Simplify right side
    476.17x = 327,866.12
  5. Step 5: Solve for x
    x = 327,866.12/476.17
  6. Step 6: Final answer
    x = 688.55

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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.