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Finding the Fourth Proportional to 1,178, 1,767 and 312.32

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Solution

The fourth proportional to 1,178, 1,767 and 312.32 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178 : 1,767 = 312.32 : x
  2. Step 2: Convert to fraction form
    1,178/1,767 = 312.32/x
  3. Step 3: Cross multiply
    1,178x = 1,767 × 312.32
  4. Step 4: Simplify right side
    1,178x = 551,869.44
  5. Step 5: Solve for x
    x = 551,869.44/1,178
  6. Step 6: Final answer
    x = 468.48

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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.