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Finding the Fourth Proportional to 597.97, 900.46 and 521.84

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Solution

The fourth proportional to 597.97, 900.46 and 521.84 is: 785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 900.46 = 521.84 : x
  2. Step 2: Convert to fraction form
    597.97/900.46 = 521.84/x
  3. Step 3: Cross multiply
    597.97x = 900.46 × 521.84
  4. Step 4: Simplify right side
    597.97x = 469,896.05
  5. Step 5: Solve for x
    x = 469,896.05/597.97
  6. Step 6: Final answer
    x = 785.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.