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Finding the Fourth Proportional to 356.68, 491.16 and 298.36

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Solution

The fourth proportional to 356.68, 491.16 and 298.36 is: 410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.68 : 491.16 = 298.36 : x
  2. Step 2: Convert to fraction form
    356.68/491.16 = 298.36/x
  3. Step 3: Cross multiply
    356.68x = 491.16 × 298.36
  4. Step 4: Simplify right side
    356.68x = 146,542.50
  5. Step 5: Solve for x
    x = 146,542.50/356.68
  6. Step 6: Final answer
    x = 410.85

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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.