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Finding the Fourth Proportional to 931.01, 1,395.70 and 382.80

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Solution

The fourth proportional to 931.01, 1,395.70 and 382.80 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.01 : 1,395.70 = 382.80 : x
  2. Step 2: Convert to fraction form
    931.01/1,395.70 = 382.80/x
  3. Step 3: Cross multiply
    931.01x = 1,395.70 × 382.80
  4. Step 4: Simplify right side
    931.01x = 534,278.24
  5. Step 5: Solve for x
    x = 534,278.24/931.01
  6. Step 6: Final answer
    x = 573.87

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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.