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Finding the Fourth Proportional to 1,536.42, 2,304.63 and 382.17

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Solution

The fourth proportional to 1,536.42, 2,304.63 and 382.17 is: 573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.42 : 2,304.63 = 382.17 : x
  2. Step 2: Convert to fraction form
    1,536.42/2,304.63 = 382.17/x
  3. Step 3: Cross multiply
    1,536.42x = 2,304.63 × 382.17
  4. Step 4: Simplify right side
    1,536.42x = 880,770.52
  5. Step 5: Solve for x
    x = 880,770.52/1,536.42
  6. Step 6: Final answer
    x = 573.26

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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.