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Finding the Fourth Proportional to 598.81, 827.40 and 433.57

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Solution

The fourth proportional to 598.81, 827.40 and 433.57 is: 599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.81 : 827.40 = 433.57 : x
  2. Step 2: Convert to fraction form
    598.81/827.40 = 433.57/x
  3. Step 3: Cross multiply
    598.81x = 827.40 × 433.57
  4. Step 4: Simplify right side
    598.81x = 358,735.82
  5. Step 5: Solve for x
    x = 358,735.82/598.81
  6. Step 6: Final answer
    x = 599.08

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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.