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Finding the Fourth Proportional to 424.71, 586.32 and 293.88

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Solution

The fourth proportional to 424.71, 586.32 and 293.88 is: 405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.71 : 586.32 = 293.88 : x
  2. Step 2: Convert to fraction form
    424.71/586.32 = 293.88/x
  3. Step 3: Cross multiply
    424.71x = 586.32 × 293.88
  4. Step 4: Simplify right side
    424.71x = 172,307.72
  5. Step 5: Solve for x
    x = 172,307.72/424.71
  6. Step 6: Final answer
    x = 405.71

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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.