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Finding the Fourth Proportional to 476.27, 657.07 and 279.78

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Solution

The fourth proportional to 476.27, 657.07 and 279.78 is: 385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.27 : 657.07 = 279.78 : x
  2. Step 2: Convert to fraction form
    476.27/657.07 = 279.78/x
  3. Step 3: Cross multiply
    476.27x = 657.07 × 279.78
  4. Step 4: Simplify right side
    476.27x = 183,835.04
  5. Step 5: Solve for x
    x = 183,835.04/476.27
  6. Step 6: Final answer
    x = 385.99

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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.