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Finding the Fourth Proportional to 370.35, 510.84 and 363.87

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Solution

The fourth proportional to 370.35, 510.84 and 363.87 is: 501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.35 : 510.84 = 363.87 : x
  2. Step 2: Convert to fraction form
    370.35/510.84 = 363.87/x
  3. Step 3: Cross multiply
    370.35x = 510.84 × 363.87
  4. Step 4: Simplify right side
    370.35x = 185,879.35
  5. Step 5: Solve for x
    x = 185,879.35/370.35
  6. Step 6: Final answer
    x = 501.90

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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.