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Finding the Fourth Proportional to 897.83, 1,346.22 and 349.37

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Solution

The fourth proportional to 897.83, 1,346.22 and 349.37 is: 523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.83 : 1,346.22 = 349.37 : x
  2. Step 2: Convert to fraction form
    897.83/1,346.22 = 349.37/x
  3. Step 3: Cross multiply
    897.83x = 1,346.22 × 349.37
  4. Step 4: Simplify right side
    897.83x = 470,332.25
  5. Step 5: Solve for x
    x = 470,332.25/897.83
  6. Step 6: Final answer
    x = 523.85

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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.