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Finding the Fourth Proportional to 917.62, 1,376.64 and 268.41

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Solution

The fourth proportional to 917.62, 1,376.64 and 268.41 is: 402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.62 : 1,376.64 = 268.41 : x
  2. Step 2: Convert to fraction form
    917.62/1,376.64 = 268.41/x
  3. Step 3: Cross multiply
    917.62x = 1,376.64 × 268.41
  4. Step 4: Simplify right side
    917.62x = 369,497.77
  5. Step 5: Solve for x
    x = 369,497.77/917.62
  6. Step 6: Final answer
    x = 402.67

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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.