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Finding the Fourth Proportional to 598.29, 824.98 and 376.85

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Solution

The fourth proportional to 598.29, 824.98 and 376.85 is: 519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.29 : 824.98 = 376.85 : x
  2. Step 2: Convert to fraction form
    598.29/824.98 = 376.85/x
  3. Step 3: Cross multiply
    598.29x = 824.98 × 376.85
  4. Step 4: Simplify right side
    598.29x = 310,893.71
  5. Step 5: Solve for x
    x = 310,893.71/598.29
  6. Step 6: Final answer
    x = 519.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.