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Finding the Fourth Proportional to 599.36, 826.32 and 433.76

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Solution

The fourth proportional to 599.36, 826.32 and 433.76 is: 598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.36 : 826.32 = 433.76 : x
  2. Step 2: Convert to fraction form
    599.36/826.32 = 433.76/x
  3. Step 3: Cross multiply
    599.36x = 826.32 × 433.76
  4. Step 4: Simplify right side
    599.36x = 358,424.56
  5. Step 5: Solve for x
    x = 358,424.56/599.36
  6. Step 6: Final answer
    x = 598.01

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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.