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Finding the Fourth Proportional to 497.56, 689.79 and 471.23

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Solution

The fourth proportional to 497.56, 689.79 and 471.23 is: 653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.56 : 689.79 = 471.23 : x
  2. Step 2: Convert to fraction form
    497.56/689.79 = 471.23/x
  3. Step 3: Cross multiply
    497.56x = 689.79 × 471.23
  4. Step 4: Simplify right side
    497.56x = 325,049.74
  5. Step 5: Solve for x
    x = 325,049.74/497.56
  6. Step 6: Final answer
    x = 653.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.