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Finding the Fourth Proportional to 294.12, 440.64 and 286.20

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Solution

The fourth proportional to 294.12, 440.64 and 286.20 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.12 : 440.64 = 286.20 : x
  2. Step 2: Convert to fraction form
    294.12/440.64 = 286.20/x
  3. Step 3: Cross multiply
    294.12x = 440.64 × 286.20
  4. Step 4: Simplify right side
    294.12x = 126,111.17
  5. Step 5: Solve for x
    x = 126,111.17/294.12
  6. Step 6: Final answer
    x = 428.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.