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Finding the Fourth Proportional to 535.51, 802.66 and 246.34

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Solution

The fourth proportional to 535.51, 802.66 and 246.34 is: 369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.51 : 802.66 = 246.34 : x
  2. Step 2: Convert to fraction form
    535.51/802.66 = 246.34/x
  3. Step 3: Cross multiply
    535.51x = 802.66 × 246.34
  4. Step 4: Simplify right side
    535.51x = 197,727.26
  5. Step 5: Solve for x
    x = 197,727.26/535.51
  6. Step 6: Final answer
    x = 369.23

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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.