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Finding the Fourth Proportional to 628.19, 867.35 and 418.86

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Solution

The fourth proportional to 628.19, 867.35 and 418.86 is: 578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.19 : 867.35 = 418.86 : x
  2. Step 2: Convert to fraction form
    628.19/867.35 = 418.86/x
  3. Step 3: Cross multiply
    628.19x = 867.35 × 418.86
  4. Step 4: Simplify right side
    628.19x = 363,298.74
  5. Step 5: Solve for x
    x = 363,298.74/628.19
  6. Step 6: Final answer
    x = 578.33

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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.