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Finding the Fourth Proportional to 598.97, 822.16 and 532.01

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Solution

The fourth proportional to 598.97, 822.16 and 532.01 is: 730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.97 : 822.16 = 532.01 : x
  2. Step 2: Convert to fraction form
    598.97/822.16 = 532.01/x
  3. Step 3: Cross multiply
    598.97x = 822.16 × 532.01
  4. Step 4: Simplify right side
    598.97x = 437,398.67
  5. Step 5: Solve for x
    x = 437,398.67/598.97
  6. Step 6: Final answer
    x = 730.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.