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Finding the Fourth Proportional to 527.02, 789.04 and 295.49

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Solution

The fourth proportional to 527.02, 789.04 and 295.49 is: 442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.02 : 789.04 = 295.49 : x
  2. Step 2: Convert to fraction form
    527.02/789.04 = 295.49/x
  3. Step 3: Cross multiply
    527.02x = 789.04 × 295.49
  4. Step 4: Simplify right side
    527.02x = 233,155.77
  5. Step 5: Solve for x
    x = 233,155.77/527.02
  6. Step 6: Final answer
    x = 442.41

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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.