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Finding the Fourth Proportional to 616.34, 849.72 and 597.23

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Solution

The fourth proportional to 616.34, 849.72 and 597.23 is: 823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.34 : 849.72 = 597.23 : x
  2. Step 2: Convert to fraction form
    616.34/849.72 = 597.23/x
  3. Step 3: Cross multiply
    616.34x = 849.72 × 597.23
  4. Step 4: Simplify right side
    616.34x = 507,478.28
  5. Step 5: Solve for x
    x = 507,478.28/616.34
  6. Step 6: Final answer
    x = 823.37

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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.