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Finding the Fourth Proportional to 654.42, 981.44 and 471.28

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Solution

The fourth proportional to 654.42, 981.44 and 471.28 is: 706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.42 : 981.44 = 471.28 : x
  2. Step 2: Convert to fraction form
    654.42/981.44 = 471.28/x
  3. Step 3: Cross multiply
    654.42x = 981.44 × 471.28
  4. Step 4: Simplify right side
    654.42x = 462,533.04
  5. Step 5: Solve for x
    x = 462,533.04/654.42
  6. Step 6: Final answer
    x = 706.78

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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.