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Finding the Fourth Proportional to 508.75, 701.80 and 322.17

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Solution

The fourth proportional to 508.75, 701.80 and 322.17 is: 444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.75 : 701.80 = 322.17 : x
  2. Step 2: Convert to fraction form
    508.75/701.80 = 322.17/x
  3. Step 3: Cross multiply
    508.75x = 701.80 × 322.17
  4. Step 4: Simplify right side
    508.75x = 226,097.44
  5. Step 5: Solve for x
    x = 226,097.44/508.75
  6. Step 6: Final answer
    x = 444.42

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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.