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Finding the Fourth Proportional to 424.66, 586.09 and 277.72

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Solution

The fourth proportional to 424.66, 586.09 and 277.72 is: 383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.66 : 586.09 = 277.72 : x
  2. Step 2: Convert to fraction form
    424.66/586.09 = 277.72/x
  3. Step 3: Cross multiply
    424.66x = 586.09 × 277.72
  4. Step 4: Simplify right side
    424.66x = 162,768.91
  5. Step 5: Solve for x
    x = 162,768.91/424.66
  6. Step 6: Final answer
    x = 383.29

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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.