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Finding the Fourth Proportional to 912.33, 1,368.95 and 364.91

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Solution

The fourth proportional to 912.33, 1,368.95 and 364.91 is: 547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.33 : 1,368.95 = 364.91 : x
  2. Step 2: Convert to fraction form
    912.33/1,368.95 = 364.91/x
  3. Step 3: Cross multiply
    912.33x = 1,368.95 × 364.91
  4. Step 4: Simplify right side
    912.33x = 499,536.93
  5. Step 5: Solve for x
    x = 499,536.93/912.33
  6. Step 6: Final answer
    x = 547.54

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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.