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Finding the Fourth Proportional to 616.02, 923.35 and 342.02

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Solution

The fourth proportional to 616.02, 923.35 and 342.02 is: 512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.02 : 923.35 = 342.02 : x
  2. Step 2: Convert to fraction form
    616.02/923.35 = 342.02/x
  3. Step 3: Cross multiply
    616.02x = 923.35 × 342.02
  4. Step 4: Simplify right side
    616.02x = 315,804.17
  5. Step 5: Solve for x
    x = 315,804.17/616.02
  6. Step 6: Final answer
    x = 512.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.