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Finding the Fourth Proportional to 887.42, 1,331.37 and 310.30

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Solution

The fourth proportional to 887.42, 1,331.37 and 310.30 is: 465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.42 : 1,331.37 = 310.30 : x
  2. Step 2: Convert to fraction form
    887.42/1,331.37 = 310.30/x
  3. Step 3: Cross multiply
    887.42x = 1,331.37 × 310.30
  4. Step 4: Simplify right side
    887.42x = 413,124.11
  5. Step 5: Solve for x
    x = 413,124.11/887.42
  6. Step 6: Final answer
    x = 465.53

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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.