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Finding the Fourth Proportional to 820.35, 1,230.08 and 293.00

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Solution

The fourth proportional to 820.35, 1,230.08 and 293.00 is: 439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.35 : 1,230.08 = 293.00 : x
  2. Step 2: Convert to fraction form
    820.35/1,230.08 = 293.00/x
  3. Step 3: Cross multiply
    820.35x = 1,230.08 × 293.00
  4. Step 4: Simplify right side
    820.35x = 360,405.82
  5. Step 5: Solve for x
    x = 360,405.82/820.35
  6. Step 6: Final answer
    x = 439.33

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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.