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Finding the Fourth Proportional to 598.84, 898.52 and 290.96

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Solution

The fourth proportional to 598.84, 898.52 and 290.96 is: 436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.84 : 898.52 = 290.96 : x
  2. Step 2: Convert to fraction form
    598.84/898.52 = 290.96/x
  3. Step 3: Cross multiply
    598.84x = 898.52 × 290.96
  4. Step 4: Simplify right side
    598.84x = 261,433.38
  5. Step 5: Solve for x
    x = 261,433.38/598.84
  6. Step 6: Final answer
    x = 436.57

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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.