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Finding the Fourth Proportional to 526.44, 789.44 and 282.92

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Solution

The fourth proportional to 526.44, 789.44 and 282.92 is: 424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.44 : 789.44 = 282.92 : x
  2. Step 2: Convert to fraction form
    526.44/789.44 = 282.92/x
  3. Step 3: Cross multiply
    526.44x = 789.44 × 282.92
  4. Step 4: Simplify right side
    526.44x = 223,343.00
  5. Step 5: Solve for x
    x = 223,343.00/526.44
  6. Step 6: Final answer
    x = 424.25

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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.