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Finding the Fourth Proportional to 917.84, 1,376.46 and 301.20

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Solution

The fourth proportional to 917.84, 1,376.46 and 301.20 is: 451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.84 : 1,376.46 = 301.20 : x
  2. Step 2: Convert to fraction form
    917.84/1,376.46 = 301.20/x
  3. Step 3: Cross multiply
    917.84x = 1,376.46 × 301.20
  4. Step 4: Simplify right side
    917.84x = 414,589.75
  5. Step 5: Solve for x
    x = 414,589.75/917.84
  6. Step 6: Final answer
    x = 451.70

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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.