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Finding the Fourth Proportional to 634.30, 876.18 and 510.44

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Solution

The fourth proportional to 634.30, 876.18 and 510.44 is: 705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.30 : 876.18 = 510.44 : x
  2. Step 2: Convert to fraction form
    634.30/876.18 = 510.44/x
  3. Step 3: Cross multiply
    634.30x = 876.18 × 510.44
  4. Step 4: Simplify right side
    634.30x = 447,238.14
  5. Step 5: Solve for x
    x = 447,238.14/634.30
  6. Step 6: Final answer
    x = 705.09

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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.