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Finding the Fourth Proportional to 599.94, 827.01 and 468.72

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Solution

The fourth proportional to 599.94, 827.01 and 468.72 is: 646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.94 : 827.01 = 468.72 : x
  2. Step 2: Convert to fraction form
    599.94/827.01 = 468.72/x
  3. Step 3: Cross multiply
    599.94x = 827.01 × 468.72
  4. Step 4: Simplify right side
    599.94x = 387,636.13
  5. Step 5: Solve for x
    x = 387,636.13/599.94
  6. Step 6: Final answer
    x = 646.12

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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.