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Finding the Fourth Proportional to 535.74, 803.13 and 193.50

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Solution

The fourth proportional to 535.74, 803.13 and 193.50 is: 290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.74 : 803.13 = 193.50 : x
  2. Step 2: Convert to fraction form
    535.74/803.13 = 193.50/x
  3. Step 3: Cross multiply
    535.74x = 803.13 × 193.50
  4. Step 4: Simplify right side
    535.74x = 155,405.66
  5. Step 5: Solve for x
    x = 155,405.66/535.74
  6. Step 6: Final answer
    x = 290.08

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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.