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Finding the Fourth Proportional to 885.36, 1,326.91 and 364.78

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Solution

The fourth proportional to 885.36, 1,326.91 and 364.78 is: 546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.36 : 1,326.91 = 364.78 : x
  2. Step 2: Convert to fraction form
    885.36/1,326.91 = 364.78/x
  3. Step 3: Cross multiply
    885.36x = 1,326.91 × 364.78
  4. Step 4: Simplify right side
    885.36x = 484,030.23
  5. Step 5: Solve for x
    x = 484,030.23/885.36
  6. Step 6: Final answer
    x = 546.70

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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.