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Finding the Fourth Proportional to 893.16, 1,339.81 and 345.30

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Solution

The fourth proportional to 893.16, 1,339.81 and 345.30 is: 517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.16 : 1,339.81 = 345.30 : x
  2. Step 2: Convert to fraction form
    893.16/1,339.81 = 345.30/x
  3. Step 3: Cross multiply
    893.16x = 1,339.81 × 345.30
  4. Step 4: Simplify right side
    893.16x = 462,630.51
  5. Step 5: Solve for x
    x = 462,630.51/893.16
  6. Step 6: Final answer
    x = 517.97

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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.