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Finding the Fourth Proportional to 372.16, 514.26 and 360.14

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Solution

The fourth proportional to 372.16, 514.26 and 360.14 is: 497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.16 : 514.26 = 360.14 : x
  2. Step 2: Convert to fraction form
    372.16/514.26 = 360.14/x
  3. Step 3: Cross multiply
    372.16x = 514.26 × 360.14
  4. Step 4: Simplify right side
    372.16x = 185,203.80
  5. Step 5: Solve for x
    x = 185,203.80/372.16
  6. Step 6: Final answer
    x = 497.65

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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.