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Finding the Fourth Proportional to 594.26, 824.56 and 577.25

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Solution

The fourth proportional to 594.26, 824.56 and 577.25 is: 800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.26 : 824.56 = 577.25 : x
  2. Step 2: Convert to fraction form
    594.26/824.56 = 577.25/x
  3. Step 3: Cross multiply
    594.26x = 824.56 × 577.25
  4. Step 4: Simplify right side
    594.26x = 475,980.04
  5. Step 5: Solve for x
    x = 475,980.04/594.26
  6. Step 6: Final answer
    x = 800.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.