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Finding the Fourth Proportional to 499.22, 688.74 and 292.22

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Solution

The fourth proportional to 499.22, 688.74 and 292.22 is: 403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.22 : 688.74 = 292.22 : x
  2. Step 2: Convert to fraction form
    499.22/688.74 = 292.22/x
  3. Step 3: Cross multiply
    499.22x = 688.74 × 292.22
  4. Step 4: Simplify right side
    499.22x = 201,260.16
  5. Step 5: Solve for x
    x = 201,260.16/499.22
  6. Step 6: Final answer
    x = 403.15

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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.