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Finding the Fourth Proportional to 491.48, 678.06 and 295.05

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Solution

The fourth proportional to 491.48, 678.06 and 295.05 is: 407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.48 : 678.06 = 295.05 : x
  2. Step 2: Convert to fraction form
    491.48/678.06 = 295.05/x
  3. Step 3: Cross multiply
    491.48x = 678.06 × 295.05
  4. Step 4: Simplify right side
    491.48x = 200,061.60
  5. Step 5: Solve for x
    x = 200,061.60/491.48
  6. Step 6: Final answer
    x = 407.06

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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.