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Finding the Fourth Proportional to 491.41, 678.15 and 281.59

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Solution

The fourth proportional to 491.41, 678.15 and 281.59 is: 388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.41 : 678.15 = 281.59 : x
  2. Step 2: Convert to fraction form
    491.41/678.15 = 281.59/x
  3. Step 3: Cross multiply
    491.41x = 678.15 × 281.59
  4. Step 4: Simplify right side
    491.41x = 190,962.77
  5. Step 5: Solve for x
    x = 190,962.77/491.41
  6. Step 6: Final answer
    x = 388.60

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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.