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Finding the Fourth Proportional to 535.29, 802.47 and 218.72

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Solution

The fourth proportional to 535.29, 802.47 and 218.72 is: 327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.29 : 802.47 = 218.72 : x
  2. Step 2: Convert to fraction form
    535.29/802.47 = 218.72/x
  3. Step 3: Cross multiply
    535.29x = 802.47 × 218.72
  4. Step 4: Simplify right side
    535.29x = 175,516.24
  5. Step 5: Solve for x
    x = 175,516.24/535.29
  6. Step 6: Final answer
    x = 327.89

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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.