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Finding the Fourth Proportional to 854.91, 1,282.86 and 368.01

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Solution

The fourth proportional to 854.91, 1,282.86 and 368.01 is: 552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.91 : 1,282.86 = 368.01 : x
  2. Step 2: Convert to fraction form
    854.91/1,282.86 = 368.01/x
  3. Step 3: Cross multiply
    854.91x = 1,282.86 × 368.01
  4. Step 4: Simplify right side
    854.91x = 472,105.31
  5. Step 5: Solve for x
    x = 472,105.31/854.91
  6. Step 6: Final answer
    x = 552.23

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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.