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Finding the Fourth Proportional to 655.32, 981.90 and 462

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Solution

The fourth proportional to 655.32, 981.90 and 462 is: 692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.32 : 981.90 = 462 : x
  2. Step 2: Convert to fraction form
    655.32/981.90 = 462/x
  3. Step 3: Cross multiply
    655.32x = 981.90 × 462
  4. Step 4: Simplify right side
    655.32x = 453,637.80
  5. Step 5: Solve for x
    x = 453,637.80/655.32
  6. Step 6: Final answer
    x = 692.24

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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.