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Finding the Fourth Proportional to 475.16, 655.74 and 278.64

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Solution

The fourth proportional to 475.16, 655.74 and 278.64 is: 384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.16 : 655.74 = 278.64 : x
  2. Step 2: Convert to fraction form
    475.16/655.74 = 278.64/x
  3. Step 3: Cross multiply
    475.16x = 655.74 × 278.64
  4. Step 4: Simplify right side
    475.16x = 182,715.39
  5. Step 5: Solve for x
    x = 182,715.39/475.16
  6. Step 6: Final answer
    x = 384.53

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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.