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Finding the Fourth Proportional to 424.85, 586.32 and 277.88

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Solution

The fourth proportional to 424.85, 586.32 and 277.88 is: 383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.85 : 586.32 = 277.88 : x
  2. Step 2: Convert to fraction form
    424.85/586.32 = 277.88/x
  3. Step 3: Cross multiply
    424.85x = 586.32 × 277.88
  4. Step 4: Simplify right side
    424.85x = 162,926.60
  5. Step 5: Solve for x
    x = 162,926.60/424.85
  6. Step 6: Final answer
    x = 383.49

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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.