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Finding the Fourth Proportional to 598.04, 897.40 and 233.16

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Solution

The fourth proportional to 598.04, 897.40 and 233.16 is: 349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.04 : 897.40 = 233.16 : x
  2. Step 2: Convert to fraction form
    598.04/897.40 = 233.16/x
  3. Step 3: Cross multiply
    598.04x = 897.40 × 233.16
  4. Step 4: Simplify right side
    598.04x = 209,237.78
  5. Step 5: Solve for x
    x = 209,237.78/598.04
  6. Step 6: Final answer
    x = 349.87

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