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Finding the Fourth Proportional to 404.60, 585.04 and 404.60

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Solution

The fourth proportional to 404.60, 585.04 and 404.60 is: 585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.60 : 585.04 = 404.60 : x
  2. Step 2: Convert to fraction form
    404.60/585.04 = 404.60/x
  3. Step 3: Cross multiply
    404.60x = 585.04 × 404.60
  4. Step 4: Simplify right side
    404.60x = 236,707.18
  5. Step 5: Solve for x
    x = 236,707.18/404.60
  6. Step 6: Final answer
    x = 585.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.