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Finding the Fourth Proportional to 985.88, 1,478.80 and 301.88

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Solution

The fourth proportional to 985.88, 1,478.80 and 301.88 is: 452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.88 : 1,478.80 = 301.88 : x
  2. Step 2: Convert to fraction form
    985.88/1,478.80 = 301.88/x
  3. Step 3: Cross multiply
    985.88x = 1,478.80 × 301.88
  4. Step 4: Simplify right side
    985.88x = 446,420.14
  5. Step 5: Solve for x
    x = 446,420.14/985.88
  6. Step 6: Final answer
    x = 452.81

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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.