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Finding the Fourth Proportional to 424.80, 586.19 and 238.25

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Solution

The fourth proportional to 424.80, 586.19 and 238.25 is: 328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.80 : 586.19 = 238.25 : x
  2. Step 2: Convert to fraction form
    424.80/586.19 = 238.25/x
  3. Step 3: Cross multiply
    424.80x = 586.19 × 238.25
  4. Step 4: Simplify right side
    424.80x = 139,659.77
  5. Step 5: Solve for x
    x = 139,659.77/424.80
  6. Step 6: Final answer
    x = 328.77

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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.