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Finding the Fourth Proportional to 897.36, 1,346.27 and 312.41

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Solution

The fourth proportional to 897.36, 1,346.27 and 312.41 is: 468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.36 : 1,346.27 = 312.41 : x
  2. Step 2: Convert to fraction form
    897.36/1,346.27 = 312.41/x
  3. Step 3: Cross multiply
    897.36x = 1,346.27 × 312.41
  4. Step 4: Simplify right side
    897.36x = 420,579.92
  5. Step 5: Solve for x
    x = 420,579.92/897.36
  6. Step 6: Final answer
    x = 468.69

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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.