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Finding the Fourth Proportional to 598.66, 898.35 and 233.76

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Solution

The fourth proportional to 598.66, 898.35 and 233.76 is: 350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.66 : 898.35 = 233.76 : x
  2. Step 2: Convert to fraction form
    598.66/898.35 = 233.76/x
  3. Step 3: Cross multiply
    598.66x = 898.35 × 233.76
  4. Step 4: Simplify right side
    598.66x = 209,994.05
  5. Step 5: Solve for x
    x = 209,994.05/598.66
  6. Step 6: Final answer
    x = 350.77

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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.