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Finding the Fourth Proportional to 370.29, 511.50 and 287.49

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Solution

The fourth proportional to 370.29, 511.50 and 287.49 is: 397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.29 : 511.50 = 287.49 : x
  2. Step 2: Convert to fraction form
    370.29/511.50 = 287.49/x
  3. Step 3: Cross multiply
    370.29x = 511.50 × 287.49
  4. Step 4: Simplify right side
    370.29x = 147,051.14
  5. Step 5: Solve for x
    x = 147,051.14/370.29
  6. Step 6: Final answer
    x = 397.12

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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.