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Finding the Fourth Proportional to 654.07, 981.12 and 288.78

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Solution

The fourth proportional to 654.07, 981.12 and 288.78 is: 433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.07 : 981.12 = 288.78 : x
  2. Step 2: Convert to fraction form
    654.07/981.12 = 288.78/x
  3. Step 3: Cross multiply
    654.07x = 981.12 × 288.78
  4. Step 4: Simplify right side
    654.07x = 283,327.83
  5. Step 5: Solve for x
    x = 283,327.83/654.07
  6. Step 6: Final answer
    x = 433.18

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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.