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Finding the Fourth Proportional to 474.69, 655.04 and 264.84

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Solution

The fourth proportional to 474.69, 655.04 and 264.84 is: 365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.69 : 655.04 = 264.84 : x
  2. Step 2: Convert to fraction form
    474.69/655.04 = 264.84/x
  3. Step 3: Cross multiply
    474.69x = 655.04 × 264.84
  4. Step 4: Simplify right side
    474.69x = 173,483.04
  5. Step 5: Solve for x
    x = 173,483.04/474.69
  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.