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Finding the Fourth Proportional to 627.95, 866.40 and 431.53

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Solution

The fourth proportional to 627.95, 866.40 and 431.53 is: 595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.95 : 866.40 = 431.53 : x
  2. Step 2: Convert to fraction form
    627.95/866.40 = 431.53/x
  3. Step 3: Cross multiply
    627.95x = 866.40 × 431.53
  4. Step 4: Simplify right side
    627.95x = 373,873.81
  5. Step 5: Solve for x
    x = 373,873.81/627.95
  6. Step 6: Final answer
    x = 595.39

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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.