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Finding the Fourth Proportional to 628.58, 866.63 and 431.75

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Solution

The fourth proportional to 628.58, 866.63 and 431.75 is: 595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.58 : 866.63 = 431.75 : x
  2. Step 2: Convert to fraction form
    628.58/866.63 = 431.75/x
  3. Step 3: Cross multiply
    628.58x = 866.63 × 431.75
  4. Step 4: Simplify right side
    628.58x = 374,161.01
  5. Step 5: Solve for x
    x = 374,161.01/628.58
  6. Step 6: Final answer
    x = 595.25

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