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Finding the Fourth Proportional to 476.18, 657.27 and 279.74

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Solution

The fourth proportional to 476.18, 657.27 and 279.74 is: 386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.18 : 657.27 = 279.74 : x
  2. Step 2: Convert to fraction form
    476.18/657.27 = 279.74/x
  3. Step 3: Cross multiply
    476.18x = 657.27 × 279.74
  4. Step 4: Simplify right side
    476.18x = 183,864.71
  5. Step 5: Solve for x
    x = 183,864.71/476.18
  6. Step 6: Final answer
    x = 386.12

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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.