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Finding the Fourth Proportional to 897.39, 1,346.13 and 312.42

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Solution

The fourth proportional to 897.39, 1,346.13 and 312.42 is: 468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.39 : 1,346.13 = 312.42 : x
  2. Step 2: Convert to fraction form
    897.39/1,346.13 = 312.42/x
  3. Step 3: Cross multiply
    897.39x = 1,346.13 × 312.42
  4. Step 4: Simplify right side
    897.39x = 420,557.93
  5. Step 5: Solve for x
    x = 420,557.93/897.39
  6. Step 6: Final answer
    x = 468.65

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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.