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Finding the Fourth Proportional to 598.07, 824.95 and 376.84

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Solution

The fourth proportional to 598.07, 824.95 and 376.84 is: 519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.07 : 824.95 = 376.84 : x
  2. Step 2: Convert to fraction form
    598.07/824.95 = 376.84/x
  3. Step 3: Cross multiply
    598.07x = 824.95 × 376.84
  4. Step 4: Simplify right side
    598.07x = 310,874.16
  5. Step 5: Solve for x
    x = 310,874.16/598.07
  6. Step 6: Final answer
    x = 519.80

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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.