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Finding the Fourth Proportional to 399.84, 552.72 and 284.40

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Solution

The fourth proportional to 399.84, 552.72 and 284.40 is: 393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.84 : 552.72 = 284.40 : x
  2. Step 2: Convert to fraction form
    399.84/552.72 = 284.40/x
  3. Step 3: Cross multiply
    399.84x = 552.72 × 284.40
  4. Step 4: Simplify right side
    399.84x = 157,193.57
  5. Step 5: Solve for x
    x = 157,193.57/399.84
  6. Step 6: Final answer
    x = 393.14

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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.