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Finding the Fourth Proportional to 371.88, 510.90 and 362.16

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Solution

The fourth proportional to 371.88, 510.90 and 362.16 is: 497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.88 : 510.90 = 362.16 : x
  2. Step 2: Convert to fraction form
    371.88/510.90 = 362.16/x
  3. Step 3: Cross multiply
    371.88x = 510.90 × 362.16
  4. Step 4: Simplify right side
    371.88x = 185,027.54
  5. Step 5: Solve for x
    x = 185,027.54/371.88
  6. Step 6: Final answer
    x = 497.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.