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Finding the Fourth Proportional to 476.27, 657.29 and 289.71

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Solution

The fourth proportional to 476.27, 657.29 and 289.71 is: 399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.27 : 657.29 = 289.71 : x
  2. Step 2: Convert to fraction form
    476.27/657.29 = 289.71/x
  3. Step 3: Cross multiply
    476.27x = 657.29 × 289.71
  4. Step 4: Simplify right side
    476.27x = 190,423.49
  5. Step 5: Solve for x
    x = 190,423.49/476.27
  6. Step 6: Final answer
    x = 399.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.