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Finding the Fourth Proportional to 598.48, 825.96 and 365.76

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Solution

The fourth proportional to 598.48, 825.96 and 365.76 is: 504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.48 : 825.96 = 365.76 : x
  2. Step 2: Convert to fraction form
    598.48/825.96 = 365.76/x
  3. Step 3: Cross multiply
    598.48x = 825.96 × 365.76
  4. Step 4: Simplify right side
    598.48x = 302,103.13
  5. Step 5: Solve for x
    x = 302,103.13/598.48
  6. Step 6: Final answer
    x = 504.78

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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.