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Finding the Fourth Proportional to 893.50, 1,340.24 and 308.93

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Solution

The fourth proportional to 893.50, 1,340.24 and 308.93 is: 463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.50 : 1,340.24 = 308.93 : x
  2. Step 2: Convert to fraction form
    893.50/1,340.24 = 308.93/x
  3. Step 3: Cross multiply
    893.50x = 1,340.24 × 308.93
  4. Step 4: Simplify right side
    893.50x = 414,032.10
  5. Step 5: Solve for x
    x = 414,032.10/893.50
  6. Step 6: Final answer
    x = 463.38

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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.