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Finding the Fourth Proportional to 598.64, 826.12 and 365.77

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Solution

The fourth proportional to 598.64, 826.12 and 365.77 is: 504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 826.12 = 365.77 : x
  2. Step 2: Convert to fraction form
    598.64/826.12 = 365.77/x
  3. Step 3: Cross multiply
    598.64x = 826.12 × 365.77
  4. Step 4: Simplify right side
    598.64x = 302,167.78
  5. Step 5: Solve for x
    x = 302,167.78/598.64
  6. Step 6: Final answer
    x = 504.76

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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.