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Finding the Fourth Proportional to 404.60, 607.14 and 185.19

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Solution

The fourth proportional to 404.60, 607.14 and 185.19 is: 277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.60 : 607.14 = 185.19 : x
  2. Step 2: Convert to fraction form
    404.60/607.14 = 185.19/x
  3. Step 3: Cross multiply
    404.60x = 607.14 × 185.19
  4. Step 4: Simplify right side
    404.60x = 112,433.22
  5. Step 5: Solve for x
    x = 112,433.22/404.60
  6. Step 6: Final answer
    x = 277.89

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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.