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Finding the Fourth Proportional to 424.70, 586.12 and 250.08

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Solution

The fourth proportional to 424.70, 586.12 and 250.08 is: 345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.70 : 586.12 = 250.08 : x
  2. Step 2: Convert to fraction form
    424.70/586.12 = 250.08/x
  3. Step 3: Cross multiply
    424.70x = 586.12 × 250.08
  4. Step 4: Simplify right side
    424.70x = 146,576.89
  5. Step 5: Solve for x
    x = 146,576.89/424.70
  6. Step 6: Final answer
    x = 345.13

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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.