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Finding the Fourth Proportional to 598.93, 897.85 and 214.09

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Solution

The fourth proportional to 598.93, 897.85 and 214.09 is: 320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.93 : 897.85 = 214.09 : x
  2. Step 2: Convert to fraction form
    598.93/897.85 = 214.09/x
  3. Step 3: Cross multiply
    598.93x = 897.85 × 214.09
  4. Step 4: Simplify right side
    598.93x = 192,216.22
  5. Step 5: Solve for x
    x = 192,216.22/598.93
  6. Step 6: Final answer
    x = 320.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.