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Finding the Fourth Proportional to 527, 789.69 and 310.46

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Solution

The fourth proportional to 527, 789.69 and 310.46 is: 465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    527 : 789.69 = 310.46 : x
  2. Step 2: Convert to fraction form
    527/789.69 = 310.46/x
  3. Step 3: Cross multiply
    527x = 789.69 × 310.46
  4. Step 4: Simplify right side
    527x = 245,167.16
  5. Step 5: Solve for x
    x = 245,167.16/527
  6. Step 6: Final answer
    x = 465.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.