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Finding the Fourth Proportional to 526.42, 789.49 and 295.44

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Solution

The fourth proportional to 526.42, 789.49 and 295.44 is: 443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.42 : 789.49 = 295.44 : x
  2. Step 2: Convert to fraction form
    526.42/789.49 = 295.44/x
  3. Step 3: Cross multiply
    526.42x = 789.49 × 295.44
  4. Step 4: Simplify right side
    526.42x = 233,246.93
  5. Step 5: Solve for x
    x = 233,246.93/526.42
  6. Step 6: Final answer
    x = 443.08

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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.