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Finding the Fourth Proportional to 599.01, 826.65 and 366.14

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Solution

The fourth proportional to 599.01, 826.65 and 366.14 is: 505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.01 : 826.65 = 366.14 : x
  2. Step 2: Convert to fraction form
    599.01/826.65 = 366.14/x
  3. Step 3: Cross multiply
    599.01x = 826.65 × 366.14
  4. Step 4: Simplify right side
    599.01x = 302,665.50
  5. Step 5: Solve for x
    x = 302,665.50/599.01
  6. Step 6: Final answer
    x = 505.28

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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.