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Finding the Fourth Proportional to 468.42, 702.90 and 400.26

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Solution

The fourth proportional to 468.42, 702.90 and 400.26 is: 600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.42 : 702.90 = 400.26 : x
  2. Step 2: Convert to fraction form
    468.42/702.90 = 400.26/x
  3. Step 3: Cross multiply
    468.42x = 702.90 × 400.26
  4. Step 4: Simplify right side
    468.42x = 281,342.75
  5. Step 5: Solve for x
    x = 281,342.75/468.42
  6. Step 6: Final answer
    x = 600.62

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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.