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Finding the Fourth Proportional to 527.40, 789.77 and 284.00

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Solution

The fourth proportional to 527.40, 789.77 and 284.00 is: 425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.40 : 789.77 = 284.00 : x
  2. Step 2: Convert to fraction form
    527.40/789.77 = 284.00/x
  3. Step 3: Cross multiply
    527.40x = 789.77 × 284.00
  4. Step 4: Simplify right side
    527.40x = 224,289.31
  5. Step 5: Solve for x
    x = 224,289.31/527.40
  6. Step 6: Final answer
    x = 425.27

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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.