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Finding the Fourth Proportional to 488.40, 734.20 and 459.60

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Solution

The fourth proportional to 488.40, 734.20 and 459.60 is: 690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.40 : 734.20 = 459.60 : x
  2. Step 2: Convert to fraction form
    488.40/734.20 = 459.60/x
  3. Step 3: Cross multiply
    488.40x = 734.20 × 459.60
  4. Step 4: Simplify right side
    488.40x = 337,438.32
  5. Step 5: Solve for x
    x = 337,438.32/488.40
  6. Step 6: Final answer
    x = 690.91

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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.