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Finding the Fourth Proportional to 838.08, 1,256.18 and 375.17

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Solution

The fourth proportional to 838.08, 1,256.18 and 375.17 is: 562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.08 : 1,256.18 = 375.17 : x
  2. Step 2: Convert to fraction form
    838.08/1,256.18 = 375.17/x
  3. Step 3: Cross multiply
    838.08x = 1,256.18 × 375.17
  4. Step 4: Simplify right side
    838.08x = 471,272.89
  5. Step 5: Solve for x
    x = 471,272.89/838.08
  6. Step 6: Final answer
    x = 562.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.