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Finding the Fourth Proportional to 628.08, 865.44 and 431.24

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Solution

The fourth proportional to 628.08, 865.44 and 431.24 is: 594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.08 : 865.44 = 431.24 : x
  2. Step 2: Convert to fraction form
    628.08/865.44 = 431.24/x
  3. Step 3: Cross multiply
    628.08x = 865.44 × 431.24
  4. Step 4: Simplify right side
    628.08x = 373,212.35
  5. Step 5: Solve for x
    x = 373,212.35/628.08
  6. Step 6: Final answer
    x = 594.21

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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.