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Finding the Fourth Proportional to 404.65, 606.95 and 116.06

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Solution

The fourth proportional to 404.65, 606.95 and 116.06 is: 174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.65 : 606.95 = 116.06 : x
  2. Step 2: Convert to fraction form
    404.65/606.95 = 116.06/x
  3. Step 3: Cross multiply
    404.65x = 606.95 × 116.06
  4. Step 4: Simplify right side
    404.65x = 70,442.62
  5. Step 5: Solve for x
    x = 70,442.62/404.65
  6. Step 6: Final answer
    x = 174.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.