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Finding the Fourth Proportional to 917.68, 1,376.58 and 301.22

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Solution

The fourth proportional to 917.68, 1,376.58 and 301.22 is: 451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.68 : 1,376.58 = 301.22 : x
  2. Step 2: Convert to fraction form
    917.68/1,376.58 = 301.22/x
  3. Step 3: Cross multiply
    917.68x = 1,376.58 × 301.22
  4. Step 4: Simplify right side
    917.68x = 414,653.43
  5. Step 5: Solve for x
    x = 414,653.43/917.68
  6. Step 6: Final answer
    x = 451.85

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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.