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Finding the Fourth Proportional to 588.06, 811.01 and 564.37

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Solution

The fourth proportional to 588.06, 811.01 and 564.37 is: 778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.06 : 811.01 = 564.37 : x
  2. Step 2: Convert to fraction form
    588.06/811.01 = 564.37/x
  3. Step 3: Cross multiply
    588.06x = 811.01 × 564.37
  4. Step 4: Simplify right side
    588.06x = 457,709.10
  5. Step 5: Solve for x
    x = 457,709.10/588.06
  6. Step 6: Final answer
    x = 778.34

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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.