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Finding the Fourth Proportional to 535.23, 802.63 and 188.46

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Solution

The fourth proportional to 535.23, 802.63 and 188.46 is: 282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.23 : 802.63 = 188.46 : x
  2. Step 2: Convert to fraction form
    535.23/802.63 = 188.46/x
  3. Step 3: Cross multiply
    535.23x = 802.63 × 188.46
  4. Step 4: Simplify right side
    535.23x = 151,263.65
  5. Step 5: Solve for x
    x = 151,263.65/535.23
  6. Step 6: Final answer
    x = 282.61

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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.