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Finding the Fourth Proportional to 498.96, 746.88 and 406.80

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Solution

The fourth proportional to 498.96, 746.88 and 406.80 is: 608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.96 : 746.88 = 406.80 : x
  2. Step 2: Convert to fraction form
    498.96/746.88 = 406.80/x
  3. Step 3: Cross multiply
    498.96x = 746.88 × 406.80
  4. Step 4: Simplify right side
    498.96x = 303,830.78
  5. Step 5: Solve for x
    x = 303,830.78/498.96
  6. Step 6: Final answer
    x = 608.93

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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.