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Finding the Fourth Proportional to 598.64, 826.24 and 349.96

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Solution

The fourth proportional to 598.64, 826.24 and 349.96 is: 483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 826.24 = 349.96 : x
  2. Step 2: Convert to fraction form
    598.64/826.24 = 349.96/x
  3. Step 3: Cross multiply
    598.64x = 826.24 × 349.96
  4. Step 4: Simplify right side
    598.64x = 289,150.95
  5. Step 5: Solve for x
    x = 289,150.95/598.64
  6. Step 6: Final answer
    x = 483.01

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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.