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Finding the Fourth Proportional to 597.25, 822.25 and 470.98

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Solution

The fourth proportional to 597.25, 822.25 and 470.98 is: 648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.25 : 822.25 = 470.98 : x
  2. Step 2: Convert to fraction form
    597.25/822.25 = 470.98/x
  3. Step 3: Cross multiply
    597.25x = 822.25 × 470.98
  4. Step 4: Simplify right side
    597.25x = 387,264.05
  5. Step 5: Solve for x
    x = 387,264.05/597.25
  6. Step 6: Final answer
    x = 648.42

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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.