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Finding the Fourth Proportional to 628.56, 867.62 and 432.64

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Solution

The fourth proportional to 628.56, 867.62 and 432.64 is: 597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.56 : 867.62 = 432.64 : x
  2. Step 2: Convert to fraction form
    628.56/867.62 = 432.64/x
  3. Step 3: Cross multiply
    628.56x = 867.62 × 432.64
  4. Step 4: Simplify right side
    628.56x = 375,367.12
  5. Step 5: Solve for x
    x = 375,367.12/628.56
  6. Step 6: Final answer
    x = 597.19

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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.