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Finding the Fourth Proportional to 498.16, 687.06 and 410.68

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Solution

The fourth proportional to 498.16, 687.06 and 410.68 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.16 : 687.06 = 410.68 : x
  2. Step 2: Convert to fraction form
    498.16/687.06 = 410.68/x
  3. Step 3: Cross multiply
    498.16x = 687.06 × 410.68
  4. Step 4: Simplify right side
    498.16x = 282,161.80
  5. Step 5: Solve for x
    x = 282,161.80/498.16
  6. Step 6: Final answer
    x = 566.41

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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.