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Finding the Fourth Proportional to 854.94, 1,282.94 and 307.08

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Solution

The fourth proportional to 854.94, 1,282.94 and 307.08 is: 460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.94 : 1,282.94 = 307.08 : x
  2. Step 2: Convert to fraction form
    854.94/1,282.94 = 307.08/x
  3. Step 3: Cross multiply
    854.94x = 1,282.94 × 307.08
  4. Step 4: Simplify right side
    854.94x = 393,965.22
  5. Step 5: Solve for x
    x = 393,965.22/854.94
  6. Step 6: Final answer
    x = 460.81

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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.