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Finding the Fourth Proportional to 498.99, 689.27 and 416.37

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Solution

The fourth proportional to 498.99, 689.27 and 416.37 is: 575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.99 : 689.27 = 416.37 : x
  2. Step 2: Convert to fraction form
    498.99/689.27 = 416.37/x
  3. Step 3: Cross multiply
    498.99x = 689.27 × 416.37
  4. Step 4: Simplify right side
    498.99x = 286,989.27
  5. Step 5: Solve for x
    x = 286,989.27/498.99
  6. Step 6: Final answer
    x = 575.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.