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Finding the Fourth Proportional to 497.92, 687.84 and 410.56

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Solution

The fourth proportional to 497.92, 687.84 and 410.56 is: 567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.92 : 687.84 = 410.56 : x
  2. Step 2: Convert to fraction form
    497.92/687.84 = 410.56/x
  3. Step 3: Cross multiply
    497.92x = 687.84 × 410.56
  4. Step 4: Simplify right side
    497.92x = 282,399.59
  5. Step 5: Solve for x
    x = 282,399.59/497.92
  6. Step 6: Final answer
    x = 567.16

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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.