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Finding the Fourth Proportional to 585.00, 807.22 and 496.83

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Solution

The fourth proportional to 585.00, 807.22 and 496.83 is: 685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.00 : 807.22 = 496.83 : x
  2. Step 2: Convert to fraction form
    585.00/807.22 = 496.83/x
  3. Step 3: Cross multiply
    585.00x = 807.22 × 496.83
  4. Step 4: Simplify right side
    585.00x = 401,051.97
  5. Step 5: Solve for x
    x = 401,051.97/585.00
  6. Step 6: Final answer
    x = 685.56

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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.