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Finding the Fourth Proportional to 508.53, 701.96 and 322.03

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Solution

The fourth proportional to 508.53, 701.96 and 322.03 is: 444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.53 : 701.96 = 322.03 : x
  2. Step 2: Convert to fraction form
    508.53/701.96 = 322.03/x
  3. Step 3: Cross multiply
    508.53x = 701.96 × 322.03
  4. Step 4: Simplify right side
    508.53x = 226,052.18
  5. Step 5: Solve for x
    x = 226,052.18/508.53
  6. Step 6: Final answer
    x = 444.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.