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Finding the Fourth Proportional to 917.84, 1,376.79 and 301.50

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Solution

The fourth proportional to 917.84, 1,376.79 and 301.50 is: 452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.84 : 1,376.79 = 301.50 : x
  2. Step 2: Convert to fraction form
    917.84/1,376.79 = 301.50/x
  3. Step 3: Cross multiply
    917.84x = 1,376.79 × 301.50
  4. Step 4: Simplify right side
    917.84x = 415,102.19
  5. Step 5: Solve for x
    x = 415,102.19/917.84
  6. Step 6: Final answer
    x = 452.26

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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.