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Finding the Fourth Proportional to 534.84, 802.32 and 246.48

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Solution

The fourth proportional to 534.84, 802.32 and 246.48 is: 369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.84 : 802.32 = 246.48 : x
  2. Step 2: Convert to fraction form
    534.84/802.32 = 246.48/x
  3. Step 3: Cross multiply
    534.84x = 802.32 × 246.48
  4. Step 4: Simplify right side
    534.84x = 197,755.83
  5. Step 5: Solve for x
    x = 197,755.83/534.84
  6. Step 6: Final answer
    x = 369.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.