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Finding the Fourth Proportional to 526.93, 789.67 and 334.21

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Solution

The fourth proportional to 526.93, 789.67 and 334.21 is: 500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.93 : 789.67 = 334.21 : x
  2. Step 2: Convert to fraction form
    526.93/789.67 = 334.21/x
  3. Step 3: Cross multiply
    526.93x = 789.67 × 334.21
  4. Step 4: Simplify right side
    526.93x = 263,915.61
  5. Step 5: Solve for x
    x = 263,915.61/526.93
  6. Step 6: Final answer
    x = 500.86

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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.