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Finding the Fourth Proportional to 585.88, 803.38 and 566.23

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Solution

The fourth proportional to 585.88, 803.38 and 566.23 is: 776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.88 : 803.38 = 566.23 : x
  2. Step 2: Convert to fraction form
    585.88/803.38 = 566.23/x
  3. Step 3: Cross multiply
    585.88x = 803.38 × 566.23
  4. Step 4: Simplify right side
    585.88x = 454,896.67
  5. Step 5: Solve for x
    x = 454,896.67/585.88
  6. Step 6: Final answer
    x = 776.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.