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Finding the Fourth Proportional to 475.37, 655.90 and 278.89

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Solution

The fourth proportional to 475.37, 655.90 and 278.89 is: 384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.37 : 655.90 = 278.89 : x
  2. Step 2: Convert to fraction form
    475.37/655.90 = 278.89/x
  3. Step 3: Cross multiply
    475.37x = 655.90 × 278.89
  4. Step 4: Simplify right side
    475.37x = 182,925.30
  5. Step 5: Solve for x
    x = 182,925.30/475.37
  6. Step 6: Final answer
    x = 384.81

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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.