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Finding the Fourth Proportional to 535.23, 802.64 and 188.47

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Solution

The fourth proportional to 535.23, 802.64 and 188.47 is: 282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.23 : 802.64 = 188.47 : x
  2. Step 2: Convert to fraction form
    535.23/802.64 = 188.47/x
  3. Step 3: Cross multiply
    535.23x = 802.64 × 188.47
  4. Step 4: Simplify right side
    535.23x = 151,273.56
  5. Step 5: Solve for x
    x = 151,273.56/535.23
  6. Step 6: Final answer
    x = 282.63

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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.