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Finding the Fourth Proportional to 585.52, 809.76 and 506.92

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Solution

The fourth proportional to 585.52, 809.76 and 506.92 is: 701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.52 : 809.76 = 506.92 : x
  2. Step 2: Convert to fraction form
    585.52/809.76 = 506.92/x
  3. Step 3: Cross multiply
    585.52x = 809.76 × 506.92
  4. Step 4: Simplify right side
    585.52x = 410,483.54
  5. Step 5: Solve for x
    x = 410,483.54/585.52
  6. Step 6: Final answer
    x = 701.06

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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.