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Finding the Fourth Proportional to 585.30, 807.80 and 523.46

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Solution

The fourth proportional to 585.30, 807.80 and 523.46 is: 722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.30 : 807.80 = 523.46 : x
  2. Step 2: Convert to fraction form
    585.30/807.80 = 523.46/x
  3. Step 3: Cross multiply
    585.30x = 807.80 × 523.46
  4. Step 4: Simplify right side
    585.30x = 422,850.99
  5. Step 5: Solve for x
    x = 422,850.99/585.30
  6. Step 6: Final answer
    x = 722.45

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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.