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Finding the Fourth Proportional to 491.90, 678.65 and 314.89

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Solution

The fourth proportional to 491.90, 678.65 and 314.89 is: 434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.90 : 678.65 = 314.89 : x
  2. Step 2: Convert to fraction form
    491.90/678.65 = 314.89/x
  3. Step 3: Cross multiply
    491.90x = 678.65 × 314.89
  4. Step 4: Simplify right side
    491.90x = 213,701.73
  5. Step 5: Solve for x
    x = 213,701.73/491.90
  6. Step 6: Final answer
    x = 434.44

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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.