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Finding the Fourth Proportional to 374.19, 515.85 and 284.28

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Solution

The fourth proportional to 374.19, 515.85 and 284.28 is: 391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.19 : 515.85 = 284.28 : x
  2. Step 2: Convert to fraction form
    374.19/515.85 = 284.28/x
  3. Step 3: Cross multiply
    374.19x = 515.85 × 284.28
  4. Step 4: Simplify right side
    374.19x = 146,645.84
  5. Step 5: Solve for x
    x = 146,645.84/374.19
  6. Step 6: Final answer
    x = 391.90

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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.