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Finding the Fourth Proportional to 508.98, 701.73 and 438.96

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Solution

The fourth proportional to 508.98, 701.73 and 438.96 is: 605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.98 : 701.73 = 438.96 : x
  2. Step 2: Convert to fraction form
    508.98/701.73 = 438.96/x
  3. Step 3: Cross multiply
    508.98x = 701.73 × 438.96
  4. Step 4: Simplify right side
    508.98x = 308,031.40
  5. Step 5: Solve for x
    x = 308,031.40/508.98
  6. Step 6: Final answer
    x = 605.19

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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.