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Finding the Fourth Proportional to 585.09, 881.67 and 484.62

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Solution

The fourth proportional to 585.09, 881.67 and 484.62 is: 730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 881.67 = 484.62 : x
  2. Step 2: Convert to fraction form
    585.09/881.67 = 484.62/x
  3. Step 3: Cross multiply
    585.09x = 881.67 × 484.62
  4. Step 4: Simplify right side
    585.09x = 427,274.92
  5. Step 5: Solve for x
    x = 427,274.92/585.09
  6. Step 6: Final answer
    x = 730.27

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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.