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Finding the Fourth Proportional to 526.24, 789.04 and 218.08

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Solution

The fourth proportional to 526.24, 789.04 and 218.08 is: 326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.24 : 789.04 = 218.08 : x
  2. Step 2: Convert to fraction form
    526.24/789.04 = 218.08/x
  3. Step 3: Cross multiply
    526.24x = 789.04 × 218.08
  4. Step 4: Simplify right side
    526.24x = 172,073.84
  5. Step 5: Solve for x
    x = 172,073.84/526.24
  6. Step 6: Final answer
    x = 326.99

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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.