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Finding the Fourth Proportional to 474.61, 655.04 and 278.24

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Solution

The fourth proportional to 474.61, 655.04 and 278.24 is: 384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.61 : 655.04 = 278.24 : x
  2. Step 2: Convert to fraction form
    474.61/655.04 = 278.24/x
  3. Step 3: Cross multiply
    474.61x = 655.04 × 278.24
  4. Step 4: Simplify right side
    474.61x = 182,254.18
  5. Step 5: Solve for x
    x = 182,254.18/474.61
  6. Step 6: Final answer
    x = 384.01

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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.