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Finding the Fourth Proportional to 424.84, 586.20 and 308.56

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Solution

The fourth proportional to 424.84, 586.20 and 308.56 is: 425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.84 : 586.20 = 308.56 : x
  2. Step 2: Convert to fraction form
    424.84/586.20 = 308.56/x
  3. Step 3: Cross multiply
    424.84x = 586.20 × 308.56
  4. Step 4: Simplify right side
    424.84x = 180,877.87
  5. Step 5: Solve for x
    x = 180,877.87/424.84
  6. Step 6: Final answer
    x = 425.76

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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.