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Finding the Fourth Proportional to 634.42, 875.24 and 511.44

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Solution

The fourth proportional to 634.42, 875.24 and 511.44 is: 705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.42 : 875.24 = 511.44 : x
  2. Step 2: Convert to fraction form
    634.42/875.24 = 511.44/x
  3. Step 3: Cross multiply
    634.42x = 875.24 × 511.44
  4. Step 4: Simplify right side
    634.42x = 447,632.75
  5. Step 5: Solve for x
    x = 447,632.75/634.42
  6. Step 6: Final answer
    x = 705.58

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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.