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Finding the Fourth Proportional to 959.33, 1,438.17 and 374.00

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Solution

The fourth proportional to 959.33, 1,438.17 and 374.00 is: 560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.33 : 1,438.17 = 374.00 : x
  2. Step 2: Convert to fraction form
    959.33/1,438.17 = 374.00/x
  3. Step 3: Cross multiply
    959.33x = 1,438.17 × 374.00
  4. Step 4: Simplify right side
    959.33x = 537,868.39
  5. Step 5: Solve for x
    x = 537,868.39/959.33
  6. Step 6: Final answer
    x = 560.67

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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.