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Finding the Fourth Proportional to 627.48, 866.52 and 507.96

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Solution

The fourth proportional to 627.48, 866.52 and 507.96 is: 701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 866.52 = 507.96 : x
  2. Step 2: Convert to fraction form
    627.48/866.52 = 507.96/x
  3. Step 3: Cross multiply
    627.48x = 866.52 × 507.96
  4. Step 4: Simplify right side
    627.48x = 440,157.50
  5. Step 5: Solve for x
    x = 440,157.50/627.48
  6. Step 6: Final answer
    x = 701.47

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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.