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Finding the Fourth Proportional to 475.12, 655.67 and 278.58

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Solution

The fourth proportional to 475.12, 655.67 and 278.58 is: 384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.12 : 655.67 = 278.58 : x
  2. Step 2: Convert to fraction form
    475.12/655.67 = 278.58/x
  3. Step 3: Cross multiply
    475.12x = 655.67 × 278.58
  4. Step 4: Simplify right side
    475.12x = 182,655.16
  5. Step 5: Solve for x
    x = 182,655.16/475.12
  6. Step 6: Final answer
    x = 384.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.