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Finding the Fourth Proportional to 585.23, 806.85 and 480.20

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Solution

The fourth proportional to 585.23, 806.85 and 480.20 is: 662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.23 : 806.85 = 480.20 : x
  2. Step 2: Convert to fraction form
    585.23/806.85 = 480.20/x
  3. Step 3: Cross multiply
    585.23x = 806.85 × 480.20
  4. Step 4: Simplify right side
    585.23x = 387,445.34
  5. Step 5: Solve for x
    x = 387,445.34/585.23
  6. Step 6: Final answer
    x = 662.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.