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Finding the Fourth Proportional to 939.94, 1,410.51 and 362.81

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Solution

The fourth proportional to 939.94, 1,410.51 and 362.81 is: 544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.94 : 1,410.51 = 362.81 : x
  2. Step 2: Convert to fraction form
    939.94/1,410.51 = 362.81/x
  3. Step 3: Cross multiply
    939.94x = 1,410.51 × 362.81
  4. Step 4: Simplify right side
    939.94x = 511,752.02
  5. Step 5: Solve for x
    x = 511,752.02/939.94
  6. Step 6: Final answer
    x = 544.45

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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.