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Finding the Fourth Proportional to 497.80, 656.52 and 497.80

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Solution

The fourth proportional to 497.80, 656.52 and 497.80 is: 656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.80 : 656.52 = 497.80 : x
  2. Step 2: Convert to fraction form
    497.80/656.52 = 497.80/x
  3. Step 3: Cross multiply
    497.80x = 656.52 × 497.80
  4. Step 4: Simplify right side
    497.80x = 326,815.66
  5. Step 5: Solve for x
    x = 326,815.66/497.80
  6. Step 6: Final answer
    x = 656.52

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.