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Finding the Fourth Proportional to 588.82, 877.46 and 569.23

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Solution

The fourth proportional to 588.82, 877.46 and 569.23 is: 848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.82 : 877.46 = 569.23 : x
  2. Step 2: Convert to fraction form
    588.82/877.46 = 569.23/x
  3. Step 3: Cross multiply
    588.82x = 877.46 × 569.23
  4. Step 4: Simplify right side
    588.82x = 499,473.12
  5. Step 5: Solve for x
    x = 499,473.12/588.82
  6. Step 6: Final answer
    x = 848.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.