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Finding the Fourth Proportional to 491.68, 678.40 and 316.99

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Solution

The fourth proportional to 491.68, 678.40 and 316.99 is: 437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.68 : 678.40 = 316.99 : x
  2. Step 2: Convert to fraction form
    491.68/678.40 = 316.99/x
  3. Step 3: Cross multiply
    491.68x = 678.40 × 316.99
  4. Step 4: Simplify right side
    491.68x = 215,046.02
  5. Step 5: Solve for x
    x = 215,046.02/491.68
  6. Step 6: Final answer
    x = 437.37

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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.