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Finding the Fourth Proportional to 575.68, 863.49 and 332.05

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Solution

The fourth proportional to 575.68, 863.49 and 332.05 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.68 : 863.49 = 332.05 : x
  2. Step 2: Convert to fraction form
    575.68/863.49 = 332.05/x
  3. Step 3: Cross multiply
    575.68x = 863.49 × 332.05
  4. Step 4: Simplify right side
    575.68x = 286,721.85
  5. Step 5: Solve for x
    x = 286,721.85/575.68
  6. Step 6: Final answer
    x = 498.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.