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Finding the Fourth Proportional to 598.32, 829.08 and 575.64

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Solution

The fourth proportional to 598.32, 829.08 and 575.64 is: 797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 829.08 = 575.64 : x
  2. Step 2: Convert to fraction form
    598.32/829.08 = 575.64/x
  3. Step 3: Cross multiply
    598.32x = 829.08 × 575.64
  4. Step 4: Simplify right side
    598.32x = 477,251.61
  5. Step 5: Solve for x
    x = 477,251.61/598.32
  6. Step 6: Final answer
    x = 797.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.