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Finding the Fourth Proportional to 598.77, 897.98 and 233.46

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Solution

The fourth proportional to 598.77, 897.98 and 233.46 is: 350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.77 : 897.98 = 233.46 : x
  2. Step 2: Convert to fraction form
    598.77/897.98 = 233.46/x
  3. Step 3: Cross multiply
    598.77x = 897.98 × 233.46
  4. Step 4: Simplify right side
    598.77x = 209,641.24
  5. Step 5: Solve for x
    x = 209,641.24/598.77
  6. Step 6: Final answer
    x = 350.12

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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.