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Finding the Fourth Proportional to 551.27, 827.13 and 346.16

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Solution

The fourth proportional to 551.27, 827.13 and 346.16 is: 519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.27 : 827.13 = 346.16 : x
  2. Step 2: Convert to fraction form
    551.27/827.13 = 346.16/x
  3. Step 3: Cross multiply
    551.27x = 827.13 × 346.16
  4. Step 4: Simplify right side
    551.27x = 286,319.32
  5. Step 5: Solve for x
    x = 286,319.32/551.27
  6. Step 6: Final answer
    x = 519.38

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