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Finding the Fourth Proportional to 598.02, 897.26 and 233.06

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Solution

The fourth proportional to 598.02, 897.26 and 233.06 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.02 : 897.26 = 233.06 : x
  2. Step 2: Convert to fraction form
    598.02/897.26 = 233.06/x
  3. Step 3: Cross multiply
    598.02x = 897.26 × 233.06
  4. Step 4: Simplify right side
    598.02x = 209,115.42
  5. Step 5: Solve for x
    x = 209,115.42/598.02
  6. Step 6: Final answer
    x = 349.68

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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.