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Finding the Fourth Proportional to 598.27, 901.84 and 573.55

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Solution

The fourth proportional to 598.27, 901.84 and 573.55 is: 864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.27 : 901.84 = 573.55 : x
  2. Step 2: Convert to fraction form
    598.27/901.84 = 573.55/x
  3. Step 3: Cross multiply
    598.27x = 901.84 × 573.55
  4. Step 4: Simplify right side
    598.27x = 517,250.33
  5. Step 5: Solve for x
    x = 517,250.33/598.27
  6. Step 6: Final answer
    x = 864.58

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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.