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Finding the Fourth Proportional to 599.34, 826.71 and 424.86

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Solution

The fourth proportional to 599.34, 826.71 and 424.86 is: 586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.34 : 826.71 = 424.86 : x
  2. Step 2: Convert to fraction form
    599.34/826.71 = 424.86/x
  3. Step 3: Cross multiply
    599.34x = 826.71 × 424.86
  4. Step 4: Simplify right side
    599.34x = 351,236.01
  5. Step 5: Solve for x
    x = 351,236.01/599.34
  6. Step 6: Final answer
    x = 586.04

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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.