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Finding the Fourth Proportional to 926.39, 1,390.28 and 341.96

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Solution

The fourth proportional to 926.39, 1,390.28 and 341.96 is: 513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.39 : 1,390.28 = 341.96 : x
  2. Step 2: Convert to fraction form
    926.39/1,390.28 = 341.96/x
  3. Step 3: Cross multiply
    926.39x = 1,390.28 × 341.96
  4. Step 4: Simplify right side
    926.39x = 475,411.49
  5. Step 5: Solve for x
    x = 475,411.49/926.39
  6. Step 6: Final answer
    x = 513.19

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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.