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Finding the Fourth Proportional to 283.40, 390.77 and 278.24

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Solution

The fourth proportional to 283.40, 390.77 and 278.24 is: 383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.40 : 390.77 = 278.24 : x
  2. Step 2: Convert to fraction form
    283.40/390.77 = 278.24/x
  3. Step 3: Cross multiply
    283.40x = 390.77 × 278.24
  4. Step 4: Simplify right side
    283.40x = 108,727.11
  5. Step 5: Solve for x
    x = 108,727.11/283.40
  6. Step 6: Final answer
    x = 383.65

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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.