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Finding the Fourth Proportional to 535.59, 802.66 and 243.03

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Solution

The fourth proportional to 535.59, 802.66 and 243.03 is: 364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.59 : 802.66 = 243.03 : x
  2. Step 2: Convert to fraction form
    535.59/802.66 = 243.03/x
  3. Step 3: Cross multiply
    535.59x = 802.66 × 243.03
  4. Step 4: Simplify right side
    535.59x = 195,070.46
  5. Step 5: Solve for x
    x = 195,070.46/535.59
  6. Step 6: Final answer
    x = 364.22

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Why These Related Problems?

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