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Finding the Fourth Proportional to 475.47, 655.65 and 328.14

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Solution

The fourth proportional to 475.47, 655.65 and 328.14 is: 452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.47 : 655.65 = 328.14 : x
  2. Step 2: Convert to fraction form
    475.47/655.65 = 328.14/x
  3. Step 3: Cross multiply
    475.47x = 655.65 × 328.14
  4. Step 4: Simplify right side
    475.47x = 215,144.99
  5. Step 5: Solve for x
    x = 215,144.99/475.47
  6. Step 6: Final answer
    x = 452.49

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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.