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Finding the Fourth Proportional to 526.33, 789.90 and 364.13

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Solution

The fourth proportional to 526.33, 789.90 and 364.13 is: 546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.33 : 789.90 = 364.13 : x
  2. Step 2: Convert to fraction form
    526.33/789.90 = 364.13/x
  3. Step 3: Cross multiply
    526.33x = 789.90 × 364.13
  4. Step 4: Simplify right side
    526.33x = 287,626.29
  5. Step 5: Solve for x
    x = 287,626.29/526.33
  6. Step 6: Final answer
    x = 546.48

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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.