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Finding the Fourth Proportional to 508.73, 701.91 and 343.33

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Solution

The fourth proportional to 508.73, 701.91 and 343.33 is: 473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.73 : 701.91 = 343.33 : x
  2. Step 2: Convert to fraction form
    508.73/701.91 = 343.33/x
  3. Step 3: Cross multiply
    508.73x = 701.91 × 343.33
  4. Step 4: Simplify right side
    508.73x = 240,985.01
  5. Step 5: Solve for x
    x = 240,985.01/508.73
  6. Step 6: Final answer
    x = 473.70

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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.