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Finding the Fourth Proportional to 475.67, 713.51 and 328.96

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Solution

The fourth proportional to 475.67, 713.51 and 328.96 is: 493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.67 : 713.51 = 328.96 : x
  2. Step 2: Convert to fraction form
    475.67/713.51 = 328.96/x
  3. Step 3: Cross multiply
    475.67x = 713.51 × 328.96
  4. Step 4: Simplify right side
    475.67x = 234,715.02
  5. Step 5: Solve for x
    x = 234,715.02/475.67
  6. Step 6: Final answer
    x = 493.44

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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.