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Finding the Fourth Proportional to 897.28, 1,346.14 and 458.36

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Solution

The fourth proportional to 897.28, 1,346.14 and 458.36 is: 687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.28 : 1,346.14 = 458.36 : x
  2. Step 2: Convert to fraction form
    897.28/1,346.14 = 458.36/x
  3. Step 3: Cross multiply
    897.28x = 1,346.14 × 458.36
  4. Step 4: Simplify right side
    897.28x = 617,016.91
  5. Step 5: Solve for x
    x = 617,016.91/897.28
  6. Step 6: Final answer
    x = 687.65

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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.