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Finding the Fourth Proportional to 868.38, 1,302.56 and 405.90

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Solution

The fourth proportional to 868.38, 1,302.56 and 405.90 is: 608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.38 : 1,302.56 = 405.90 : x
  2. Step 2: Convert to fraction form
    868.38/1,302.56 = 405.90/x
  3. Step 3: Cross multiply
    868.38x = 1,302.56 × 405.90
  4. Step 4: Simplify right side
    868.38x = 528,707.07
  5. Step 5: Solve for x
    x = 528,707.07/868.38
  6. Step 6: Final answer
    x = 608.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.