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Finding the Fourth Proportional to 491.82, 678.69 and 317.13

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Solution

The fourth proportional to 491.82, 678.69 and 317.13 is: 437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.82 : 678.69 = 317.13 : x
  2. Step 2: Convert to fraction form
    491.82/678.69 = 317.13/x
  3. Step 3: Cross multiply
    491.82x = 678.69 × 317.13
  4. Step 4: Simplify right side
    491.82x = 215,232.96
  5. Step 5: Solve for x
    x = 215,232.96/491.82
  6. Step 6: Final answer
    x = 437.63

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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.