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Finding the Fourth Proportional to 1,536.25, 2,304.37 and 382.00

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Solution

The fourth proportional to 1,536.25, 2,304.37 and 382.00 is: 572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.25 : 2,304.37 = 382.00 : x
  2. Step 2: Convert to fraction form
    1,536.25/2,304.37 = 382.00/x
  3. Step 3: Cross multiply
    1,536.25x = 2,304.37 × 382.00
  4. Step 4: Simplify right side
    1,536.25x = 880,257.59
  5. Step 5: Solve for x
    x = 880,257.59/1,536.25
  6. Step 6: Final answer
    x = 572.99

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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.