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Finding the Fourth Proportional to 498.65, 687.96 and 302.22

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Solution

The fourth proportional to 498.65, 687.96 and 302.22 is: 416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.65 : 687.96 = 302.22 : x
  2. Step 2: Convert to fraction form
    498.65/687.96 = 302.22/x
  3. Step 3: Cross multiply
    498.65x = 687.96 × 302.22
  4. Step 4: Simplify right side
    498.65x = 207,915.27
  5. Step 5: Solve for x
    x = 207,915.27/498.65
  6. Step 6: Final answer
    x = 416.96

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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.