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Finding the Fourth Proportional to 598.02, 897.29 and 233.07

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Solution

The fourth proportional to 598.02, 897.29 and 233.07 is: 349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.02 : 897.29 = 233.07 : x
  2. Step 2: Convert to fraction form
    598.02/897.29 = 233.07/x
  3. Step 3: Cross multiply
    598.02x = 897.29 × 233.07
  4. Step 4: Simplify right side
    598.02x = 209,131.38
  5. Step 5: Solve for x
    x = 209,131.38/598.02
  6. Step 6: Final answer
    x = 349.71

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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.