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Finding the Fourth Proportional to 981.42, 1,472.22 and 365.07

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Solution

The fourth proportional to 981.42, 1,472.22 and 365.07 is: 547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.42 : 1,472.22 = 365.07 : x
  2. Step 2: Convert to fraction form
    981.42/1,472.22 = 365.07/x
  3. Step 3: Cross multiply
    981.42x = 1,472.22 × 365.07
  4. Step 4: Simplify right side
    981.42x = 537,463.36
  5. Step 5: Solve for x
    x = 537,463.36/981.42
  6. Step 6: Final answer
    x = 547.64

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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.