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Finding the Fourth Proportional to 869.32, 1,303.64 and 382.03

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Solution

The fourth proportional to 869.32, 1,303.64 and 382.03 is: 572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.32 : 1,303.64 = 382.03 : x
  2. Step 2: Convert to fraction form
    869.32/1,303.64 = 382.03/x
  3. Step 3: Cross multiply
    869.32x = 1,303.64 × 382.03
  4. Step 4: Simplify right side
    869.32x = 498,029.59
  5. Step 5: Solve for x
    x = 498,029.59/869.32
  6. Step 6: Final answer
    x = 572.90

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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.