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Finding the Fourth Proportional to 910.35, 1,365.75 and 261.14

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Solution

The fourth proportional to 910.35, 1,365.75 and 261.14 is: 391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.35 : 1,365.75 = 261.14 : x
  2. Step 2: Convert to fraction form
    910.35/1,365.75 = 261.14/x
  3. Step 3: Cross multiply
    910.35x = 1,365.75 × 261.14
  4. Step 4: Simplify right side
    910.35x = 356,645.13
  5. Step 5: Solve for x
    x = 356,645.13/910.35
  6. Step 6: Final answer
    x = 391.77

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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.