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Finding the Fourth Proportional to 621.93, 858.21 and 342.16

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Solution

The fourth proportional to 621.93, 858.21 and 342.16 is: 472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.93 : 858.21 = 342.16 : x
  2. Step 2: Convert to fraction form
    621.93/858.21 = 342.16/x
  3. Step 3: Cross multiply
    621.93x = 858.21 × 342.16
  4. Step 4: Simplify right side
    621.93x = 293,645.13
  5. Step 5: Solve for x
    x = 293,645.13/621.93
  6. Step 6: Final answer
    x = 472.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.