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Finding the Fourth Proportional to 424.68, 586.16 and 250.04

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Solution

The fourth proportional to 424.68, 586.16 and 250.04 is: 345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.68 : 586.16 = 250.04 : x
  2. Step 2: Convert to fraction form
    424.68/586.16 = 250.04/x
  3. Step 3: Cross multiply
    424.68x = 586.16 × 250.04
  4. Step 4: Simplify right side
    424.68x = 146,563.45
  5. Step 5: Solve for x
    x = 146,563.45/424.68
  6. Step 6: Final answer
    x = 345.12

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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.