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Finding the Fourth Proportional to 950.17, 1,425.03 and 429.85

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Solution

The fourth proportional to 950.17, 1,425.03 and 429.85 is: 644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.17 : 1,425.03 = 429.85 : x
  2. Step 2: Convert to fraction form
    950.17/1,425.03 = 429.85/x
  3. Step 3: Cross multiply
    950.17x = 1,425.03 × 429.85
  4. Step 4: Simplify right side
    950.17x = 612,549.15
  5. Step 5: Solve for x
    x = 612,549.15/950.17
  6. Step 6: Final answer
    x = 644.67

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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.