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Finding the Fourth Proportional to 654.26, 981.45 and 288.95

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Solution

The fourth proportional to 654.26, 981.45 and 288.95 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.26 : 981.45 = 288.95 : x
  2. Step 2: Convert to fraction form
    654.26/981.45 = 288.95/x
  3. Step 3: Cross multiply
    654.26x = 981.45 × 288.95
  4. Step 4: Simplify right side
    654.26x = 283,585.07
  5. Step 5: Solve for x
    x = 283,585.07/654.26
  6. Step 6: Final answer
    x = 433.45

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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.