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Finding the Fourth Proportional to 912.82, 1,369.29 and 364.93

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Solution

The fourth proportional to 912.82, 1,369.29 and 364.93 is: 547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.82 : 1,369.29 = 364.93 : x
  2. Step 2: Convert to fraction form
    912.82/1,369.29 = 364.93/x
  3. Step 3: Cross multiply
    912.82x = 1,369.29 × 364.93
  4. Step 4: Simplify right side
    912.82x = 499,695.00
  5. Step 5: Solve for x
    x = 499,695.00/912.82
  6. Step 6: Final answer
    x = 547.42

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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.