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Finding the Fourth Proportional to 597.66, 825.84 and 573.36

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Solution

The fourth proportional to 597.66, 825.84 and 573.36 is: 792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.66 : 825.84 = 573.36 : x
  2. Step 2: Convert to fraction form
    597.66/825.84 = 573.36/x
  3. Step 3: Cross multiply
    597.66x = 825.84 × 573.36
  4. Step 4: Simplify right side
    597.66x = 473,503.62
  5. Step 5: Solve for x
    x = 473,503.62/597.66
  6. Step 6: Final answer
    x = 792.26

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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.