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Finding the Fourth Proportional to 774.48, 1,161.36 and 312.24

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Solution

The fourth proportional to 774.48, 1,161.36 and 312.24 is: 468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.48 : 1,161.36 = 312.24 : x
  2. Step 2: Convert to fraction form
    774.48/1,161.36 = 312.24/x
  3. Step 3: Cross multiply
    774.48x = 1,161.36 × 312.24
  4. Step 4: Simplify right side
    774.48x = 362,623.05
  5. Step 5: Solve for x
    x = 362,623.05/774.48
  6. Step 6: Final answer
    x = 468.21

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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.