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Finding the Fourth Proportional to 474.75, 655.66 and 369.52

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Solution

The fourth proportional to 474.75, 655.66 and 369.52 is: 510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.75 : 655.66 = 369.52 : x
  2. Step 2: Convert to fraction form
    474.75/655.66 = 369.52/x
  3. Step 3: Cross multiply
    474.75x = 655.66 × 369.52
  4. Step 4: Simplify right side
    474.75x = 242,279.48
  5. Step 5: Solve for x
    x = 242,279.48/474.75
  6. Step 6: Final answer
    x = 510.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.