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Finding the Fourth Proportional to 848.91, 1,273.16 and 328.58

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Solution

The fourth proportional to 848.91, 1,273.16 and 328.58 is: 492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.91 : 1,273.16 = 328.58 : x
  2. Step 2: Convert to fraction form
    848.91/1,273.16 = 328.58/x
  3. Step 3: Cross multiply
    848.91x = 1,273.16 × 328.58
  4. Step 4: Simplify right side
    848.91x = 418,337.49
  5. Step 5: Solve for x
    x = 418,337.49/848.91
  6. Step 6: Final answer
    x = 492.79

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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.