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Finding the Fourth Proportional to 551.09, 764.64 and 546.38

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Solution

The fourth proportional to 551.09, 764.64 and 546.38 is: 758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.09 : 764.64 = 546.38 : x
  2. Step 2: Convert to fraction form
    551.09/764.64 = 546.38/x
  3. Step 3: Cross multiply
    551.09x = 764.64 × 546.38
  4. Step 4: Simplify right side
    551.09x = 417,784.00
  5. Step 5: Solve for x
    x = 417,784.00/551.09
  6. Step 6: Final answer
    x = 758.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.