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Finding the Fourth Proportional to 474.65, 655.07 and 278.23

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Solution

The fourth proportional to 474.65, 655.07 and 278.23 is: 383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.65 : 655.07 = 278.23 : x
  2. Step 2: Convert to fraction form
    474.65/655.07 = 278.23/x
  3. Step 3: Cross multiply
    474.65x = 655.07 × 278.23
  4. Step 4: Simplify right side
    474.65x = 182,255.46
  5. Step 5: Solve for x
    x = 182,255.46/474.65
  6. Step 6: Final answer
    x = 383.98

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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.