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Finding the Fourth Proportional to 491.32, 678.18 and 334.18

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Solution

The fourth proportional to 491.32, 678.18 and 334.18 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.32 : 678.18 = 334.18 : x
  2. Step 2: Convert to fraction form
    491.32/678.18 = 334.18/x
  3. Step 3: Cross multiply
    491.32x = 678.18 × 334.18
  4. Step 4: Simplify right side
    491.32x = 226,634.19
  5. Step 5: Solve for x
    x = 226,634.19/491.32
  6. Step 6: Final answer
    x = 461.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.