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Finding the Fourth Proportional to 474.64, 655.02 and 264.83

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Solution

The fourth proportional to 474.64, 655.02 and 264.83 is: 365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.64 : 655.02 = 264.83 : x
  2. Step 2: Convert to fraction form
    474.64/655.02 = 264.83/x
  3. Step 3: Cross multiply
    474.64x = 655.02 × 264.83
  4. Step 4: Simplify right side
    474.64x = 173,464.35
  5. Step 5: Solve for x
    x = 173,464.35/474.64
  6. Step 6: Final answer
    x = 365.47

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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.