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Finding the Fourth Proportional to 497.75, 687.30 and 358.16

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Solution

The fourth proportional to 497.75, 687.30 and 358.16 is: 494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 687.30 = 358.16 : x
  2. Step 2: Convert to fraction form
    497.75/687.30 = 358.16/x
  3. Step 3: Cross multiply
    497.75x = 687.30 × 358.16
  4. Step 4: Simplify right side
    497.75x = 246,163.37
  5. Step 5: Solve for x
    x = 246,163.37/497.75
  6. Step 6: Final answer
    x = 494.55

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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.