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Finding the Fourth Proportional to 598.40, 825.82 and 362.35

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Solution

The fourth proportional to 598.40, 825.82 and 362.35 is: 500.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.40 : 825.82 = 362.35 : x
  2. Step 2: Convert to fraction form
    598.40/825.82 = 362.35/x
  3. Step 3: Cross multiply
    598.40x = 825.82 × 362.35
  4. Step 4: Simplify right side
    598.40x = 299,238.39
  5. Step 5: Solve for x
    x = 299,238.39/598.40
  6. Step 6: Final answer
    x = 500.06

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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.