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Finding the Fourth Proportional to 535.74, 803.88 and 463.92

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Solution

The fourth proportional to 535.74, 803.88 and 463.92 is: 696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.74 : 803.88 = 463.92 : x
  2. Step 2: Convert to fraction form
    535.74/803.88 = 463.92/x
  3. Step 3: Cross multiply
    535.74x = 803.88 × 463.92
  4. Step 4: Simplify right side
    535.74x = 372,936.01
  5. Step 5: Solve for x
    x = 372,936.01/535.74
  6. Step 6: Final answer
    x = 696.11

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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.