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Finding the Fourth Proportional to 621.86, 858.19 and 342.10

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Solution

The fourth proportional to 621.86, 858.19 and 342.10 is: 472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.86 : 858.19 = 342.10 : x
  2. Step 2: Convert to fraction form
    621.86/858.19 = 342.10/x
  3. Step 3: Cross multiply
    621.86x = 858.19 × 342.10
  4. Step 4: Simplify right side
    621.86x = 293,587.98
  5. Step 5: Solve for x
    x = 293,587.98/621.86
  6. Step 6: Final answer
    x = 472.11

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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.