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Finding the Fourth Proportional to 897.47, 1,346.38 and 312.45

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Solution

The fourth proportional to 897.47, 1,346.38 and 312.45 is: 468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.47 : 1,346.38 = 312.45 : x
  2. Step 2: Convert to fraction form
    897.47/1,346.38 = 312.45/x
  3. Step 3: Cross multiply
    897.47x = 1,346.38 × 312.45
  4. Step 4: Simplify right side
    897.47x = 420,676.43
  5. Step 5: Solve for x
    x = 420,676.43/897.47
  6. Step 6: Final answer
    x = 468.74

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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.