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Finding the Fourth Proportional to 404.60, 566.80 and 404.60

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Solution

The fourth proportional to 404.60, 566.80 and 404.60 is: 566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.60 : 566.80 = 404.60 : x
  2. Step 2: Convert to fraction form
    404.60/566.80 = 404.60/x
  3. Step 3: Cross multiply
    404.60x = 566.80 × 404.60
  4. Step 4: Simplify right side
    404.60x = 229,327.28
  5. Step 5: Solve for x
    x = 229,327.28/404.60
  6. Step 6: Final answer
    x = 566.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.