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Finding the Fourth Proportional to 474.86, 655.43 and 288.46

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Solution

The fourth proportional to 474.86, 655.43 and 288.46 is: 398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.86 : 655.43 = 288.46 : x
  2. Step 2: Convert to fraction form
    474.86/655.43 = 288.46/x
  3. Step 3: Cross multiply
    474.86x = 655.43 × 288.46
  4. Step 4: Simplify right side
    474.86x = 189,064.71
  5. Step 5: Solve for x
    x = 189,064.71/474.86
  6. Step 6: Final answer
    x = 398.15

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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.