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Finding the Fourth Proportional to 535.30, 803.07 and 339.61

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Solution

The fourth proportional to 535.30, 803.07 and 339.61 is: 509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.30 : 803.07 = 339.61 : x
  2. Step 2: Convert to fraction form
    535.30/803.07 = 339.61/x
  3. Step 3: Cross multiply
    535.30x = 803.07 × 339.61
  4. Step 4: Simplify right side
    535.30x = 272,729.75
  5. Step 5: Solve for x
    x = 272,729.75/535.30
  6. Step 6: Final answer
    x = 509.49

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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.