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Finding the Fourth Proportional to 535.52, 802.80 and 188.65

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Solution

The fourth proportional to 535.52, 802.80 and 188.65 is: 282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.52 : 802.80 = 188.65 : x
  2. Step 2: Convert to fraction form
    535.52/802.80 = 188.65/x
  3. Step 3: Cross multiply
    535.52x = 802.80 × 188.65
  4. Step 4: Simplify right side
    535.52x = 151,444.21
  5. Step 5: Solve for x
    x = 151,444.21/535.52
  6. Step 6: Final answer
    x = 282.80

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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.