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Finding the Fourth Proportional to 491.37, 677.86 and 284.25

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Solution

The fourth proportional to 491.37, 677.86 and 284.25 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.37 : 677.86 = 284.25 : x
  2. Step 2: Convert to fraction form
    491.37/677.86 = 284.25/x
  3. Step 3: Cross multiply
    491.37x = 677.86 × 284.25
  4. Step 4: Simplify right side
    491.37x = 192,681.71
  5. Step 5: Solve for x
    x = 192,681.71/491.37
  6. Step 6: Final answer
    x = 392.13

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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.