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Finding the Fourth Proportional to 912.32, 1,369.13 and 364.65

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Solution

The fourth proportional to 912.32, 1,369.13 and 364.65 is: 547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.32 : 1,369.13 = 364.65 : x
  2. Step 2: Convert to fraction form
    912.32/1,369.13 = 364.65/x
  3. Step 3: Cross multiply
    912.32x = 1,369.13 × 364.65
  4. Step 4: Simplify right side
    912.32x = 499,254.17
  5. Step 5: Solve for x
    x = 499,254.17/912.32
  6. Step 6: Final answer
    x = 547.24

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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.