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Finding the Fourth Proportional to 491.09, 677.72 and 284.09

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Solution

The fourth proportional to 491.09, 677.72 and 284.09 is: 392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.09 : 677.72 = 284.09 : x
  2. Step 2: Convert to fraction form
    491.09/677.72 = 284.09/x
  3. Step 3: Cross multiply
    491.09x = 677.72 × 284.09
  4. Step 4: Simplify right side
    491.09x = 192,533.47
  5. Step 5: Solve for x
    x = 192,533.47/491.09
  6. Step 6: Final answer
    x = 392.05

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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.