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Finding the Fourth Proportional to 599.65, 827.24 and 433.60

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Solution

The fourth proportional to 599.65, 827.24 and 433.60 is: 598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.65 : 827.24 = 433.60 : x
  2. Step 2: Convert to fraction form
    599.65/827.24 = 433.60/x
  3. Step 3: Cross multiply
    599.65x = 827.24 × 433.60
  4. Step 4: Simplify right side
    599.65x = 358,684.96
  5. Step 5: Solve for x
    x = 358,684.96/599.65
  6. Step 6: Final answer
    x = 598.16

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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.