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Finding the Fourth Proportional to 498.52, 688.04 and 302.05

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Solution

The fourth proportional to 498.52, 688.04 and 302.05 is: 416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.52 : 688.04 = 302.05 : x
  2. Step 2: Convert to fraction form
    498.52/688.04 = 302.05/x
  3. Step 3: Cross multiply
    498.52x = 688.04 × 302.05
  4. Step 4: Simplify right side
    498.52x = 207,822.48
  5. Step 5: Solve for x
    x = 207,822.48/498.52
  6. Step 6: Final answer
    x = 416.88

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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.