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Finding the Fourth Proportional to 491.60, 678.38 and 295.10

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Solution

The fourth proportional to 491.60, 678.38 and 295.10 is: 407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.60 : 678.38 = 295.10 : x
  2. Step 2: Convert to fraction form
    491.60/678.38 = 295.10/x
  3. Step 3: Cross multiply
    491.60x = 678.38 × 295.10
  4. Step 4: Simplify right side
    491.60x = 200,189.94
  5. Step 5: Solve for x
    x = 200,189.94/491.60
  6. Step 6: Final answer
    x = 407.22

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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.