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Finding the Fourth Proportional to 294.48, 440.64 and 287.28

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Solution

The fourth proportional to 294.48, 440.64 and 287.28 is: 429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.48 : 440.64 = 287.28 : x
  2. Step 2: Convert to fraction form
    294.48/440.64 = 287.28/x
  3. Step 3: Cross multiply
    294.48x = 440.64 × 287.28
  4. Step 4: Simplify right side
    294.48x = 126,587.06
  5. Step 5: Solve for x
    x = 126,587.06/294.48
  6. Step 6: Final answer
    x = 429.87

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