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Finding the Fourth Proportional to 424.71, 586.09 and 277.62

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Solution

The fourth proportional to 424.71, 586.09 and 277.62 is: 383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.71 : 586.09 = 277.62 : x
  2. Step 2: Convert to fraction form
    424.71/586.09 = 277.62/x
  3. Step 3: Cross multiply
    424.71x = 586.09 × 277.62
  4. Step 4: Simplify right side
    424.71x = 162,710.31
  5. Step 5: Solve for x
    x = 162,710.31/424.71
  6. Step 6: Final answer
    x = 383.11

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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.