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Finding the Fourth Proportional to 838.22, 1,257.58 and 400.03

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Solution

The fourth proportional to 838.22, 1,257.58 and 400.03 is: 600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.22 : 1,257.58 = 400.03 : x
  2. Step 2: Convert to fraction form
    838.22/1,257.58 = 400.03/x
  3. Step 3: Cross multiply
    838.22x = 1,257.58 × 400.03
  4. Step 4: Simplify right side
    838.22x = 503,068.21
  5. Step 5: Solve for x
    x = 503,068.21/838.22
  6. Step 6: Final answer
    x = 600.16

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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.