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Finding the Fourth Proportional to 508.60, 701.84 and 322.25

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Solution

The fourth proportional to 508.60, 701.84 and 322.25 is: 444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.60 : 701.84 = 322.25 : x
  2. Step 2: Convert to fraction form
    508.60/701.84 = 322.25/x
  3. Step 3: Cross multiply
    508.60x = 701.84 × 322.25
  4. Step 4: Simplify right side
    508.60x = 226,167.94
  5. Step 5: Solve for x
    x = 226,167.94/508.60
  6. Step 6: Final answer
    x = 444.69

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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.