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Finding the Fourth Proportional to 535.83, 803.07 and 362.85

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Solution

The fourth proportional to 535.83, 803.07 and 362.85 is: 543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.83 : 803.07 = 362.85 : x
  2. Step 2: Convert to fraction form
    535.83/803.07 = 362.85/x
  3. Step 3: Cross multiply
    535.83x = 803.07 × 362.85
  4. Step 4: Simplify right side
    535.83x = 291,393.95
  5. Step 5: Solve for x
    x = 291,393.95/535.83
  6. Step 6: Final answer
    x = 543.82

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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.