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Finding the Fourth Proportional to 424.86, 586.23 and 247.77

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Solution

The fourth proportional to 424.86, 586.23 and 247.77 is: 341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.86 : 586.23 = 247.77 : x
  2. Step 2: Convert to fraction form
    424.86/586.23 = 247.77/x
  3. Step 3: Cross multiply
    424.86x = 586.23 × 247.77
  4. Step 4: Simplify right side
    424.86x = 145,250.21
  5. Step 5: Solve for x
    x = 145,250.21/424.86
  6. Step 6: Final answer
    x = 341.88

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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.