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Finding the Fourth Proportional to 585.30, 809.25 and 512.40

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Solution

The fourth proportional to 585.30, 809.25 and 512.40 is: 708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.30 : 809.25 = 512.40 : x
  2. Step 2: Convert to fraction form
    585.30/809.25 = 512.40/x
  3. Step 3: Cross multiply
    585.30x = 809.25 × 512.40
  4. Step 4: Simplify right side
    585.30x = 414,659.70
  5. Step 5: Solve for x
    x = 414,659.70/585.30
  6. Step 6: Final answer
    x = 708.46

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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.