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Finding the Fourth Proportional to 616.62, 850.08 and 597.45

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Solution

The fourth proportional to 616.62, 850.08 and 597.45 is: 823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.62 : 850.08 = 597.45 : x
  2. Step 2: Convert to fraction form
    616.62/850.08 = 597.45/x
  3. Step 3: Cross multiply
    616.62x = 850.08 × 597.45
  4. Step 4: Simplify right side
    616.62x = 507,880.30
  5. Step 5: Solve for x
    x = 507,880.30/616.62
  6. Step 6: Final answer
    x = 823.65

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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.