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Finding the Fourth Proportional to 497.81, 687.06 and 414.79

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Solution

The fourth proportional to 497.81, 687.06 and 414.79 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.81 : 687.06 = 414.79 : x
  2. Step 2: Convert to fraction form
    497.81/687.06 = 414.79/x
  3. Step 3: Cross multiply
    497.81x = 687.06 × 414.79
  4. Step 4: Simplify right side
    497.81x = 284,985.62
  5. Step 5: Solve for x
    x = 284,985.62/497.81
  6. Step 6: Final answer
    x = 572.48

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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.