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Finding the Fourth Proportional to 1,364.36, 2,046.51 and 338.36

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Solution

The fourth proportional to 1,364.36, 2,046.51 and 338.36 is: 507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.36 : 2,046.51 = 338.36 : x
  2. Step 2: Convert to fraction form
    1,364.36/2,046.51 = 338.36/x
  3. Step 3: Cross multiply
    1,364.36x = 2,046.51 × 338.36
  4. Step 4: Simplify right side
    1,364.36x = 692,446.89
  5. Step 5: Solve for x
    x = 692,446.89/1,364.36
  6. Step 6: Final answer
    x = 507.53

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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.