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Finding the Fourth Proportional to 474.66, 654.68 and 297.71

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Solution

The fourth proportional to 474.66, 654.68 and 297.71 is: 410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.66 : 654.68 = 297.71 : x
  2. Step 2: Convert to fraction form
    474.66/654.68 = 297.71/x
  3. Step 3: Cross multiply
    474.66x = 654.68 × 297.71
  4. Step 4: Simplify right side
    474.66x = 194,904.71
  5. Step 5: Solve for x
    x = 194,904.71/474.66
  6. Step 6: Final answer
    x = 410.62

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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.