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Finding the Fourth Proportional to 474.61, 654.94 and 264.80

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Solution

The fourth proportional to 474.61, 654.94 and 264.80 is: 365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.61 : 654.94 = 264.80 : x
  2. Step 2: Convert to fraction form
    474.61/654.94 = 264.80/x
  3. Step 3: Cross multiply
    474.61x = 654.94 × 264.80
  4. Step 4: Simplify right side
    474.61x = 173,428.11
  5. Step 5: Solve for x
    x = 173,428.11/474.61
  6. Step 6: Final answer
    x = 365.41

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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.