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Finding the Fourth Proportional to 475.98, 657.32 and 329.11

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Solution

The fourth proportional to 475.98, 657.32 and 329.11 is: 454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.98 : 657.32 = 329.11 : x
  2. Step 2: Convert to fraction form
    475.98/657.32 = 329.11/x
  3. Step 3: Cross multiply
    475.98x = 657.32 × 329.11
  4. Step 4: Simplify right side
    475.98x = 216,330.99
  5. Step 5: Solve for x
    x = 216,330.99/475.98
  6. Step 6: Final answer
    x = 454.50

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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.