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Finding the Fourth Proportional to 534.80, 802.16 and 246.16

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Solution

The fourth proportional to 534.80, 802.16 and 246.16 is: 369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.80 : 802.16 = 246.16 : x
  2. Step 2: Convert to fraction form
    534.80/802.16 = 246.16/x
  3. Step 3: Cross multiply
    534.80x = 802.16 × 246.16
  4. Step 4: Simplify right side
    534.80x = 197,459.71
  5. Step 5: Solve for x
    x = 197,459.71/534.80
  6. Step 6: Final answer
    x = 369.22

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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.