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Finding the Fourth Proportional to 643.32, 886.28 and 512.10

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Solution

The fourth proportional to 643.32, 886.28 and 512.10 is: 705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.32 : 886.28 = 512.10 : x
  2. Step 2: Convert to fraction form
    643.32/886.28 = 512.10/x
  3. Step 3: Cross multiply
    643.32x = 886.28 × 512.10
  4. Step 4: Simplify right side
    643.32x = 453,861.43
  5. Step 5: Solve for x
    x = 453,861.43/643.32
  6. Step 6: Final answer
    x = 705.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.