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Finding the Fourth Proportional to 526.20, 789.76 and 364

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Solution

The fourth proportional to 526.20, 789.76 and 364 is: 546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.20 : 789.76 = 364 : x
  2. Step 2: Convert to fraction form
    526.20/789.76 = 364/x
  3. Step 3: Cross multiply
    526.20x = 789.76 × 364
  4. Step 4: Simplify right side
    526.20x = 287,472.64
  5. Step 5: Solve for x
    x = 287,472.64/526.20
  6. Step 6: Final answer
    x = 546.32

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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.