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Finding the Fourth Proportional to 599.53, 827.40 and 337.60

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Solution

The fourth proportional to 599.53, 827.40 and 337.60 is: 465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.53 : 827.40 = 337.60 : x
  2. Step 2: Convert to fraction form
    599.53/827.40 = 337.60/x
  3. Step 3: Cross multiply
    599.53x = 827.40 × 337.60
  4. Step 4: Simplify right side
    599.53x = 279,330.24
  5. Step 5: Solve for x
    x = 279,330.24/599.53
  6. Step 6: Final answer
    x = 465.92

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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.