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Finding the Fourth Proportional to 404.84, 610.78 and 384.60

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Solution

The fourth proportional to 404.84, 610.78 and 384.60 is: 580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.84 : 610.78 = 384.60 : x
  2. Step 2: Convert to fraction form
    404.84/610.78 = 384.60/x
  3. Step 3: Cross multiply
    404.84x = 610.78 × 384.60
  4. Step 4: Simplify right side
    404.84x = 234,905.99
  5. Step 5: Solve for x
    x = 234,905.99/404.84
  6. Step 6: Final answer
    x = 580.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.