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Finding the Fourth Proportional to 598.59, 826.16 and 365.85

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Solution

The fourth proportional to 598.59, 826.16 and 365.85 is: 504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.59 : 826.16 = 365.85 : x
  2. Step 2: Convert to fraction form
    598.59/826.16 = 365.85/x
  3. Step 3: Cross multiply
    598.59x = 826.16 × 365.85
  4. Step 4: Simplify right side
    598.59x = 302,248.81
  5. Step 5: Solve for x
    x = 302,248.81/598.59
  6. Step 6: Final answer
    x = 504.93

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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.