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Finding the Fourth Proportional to 848.27, 1,272.61 and 328.29

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Solution

The fourth proportional to 848.27, 1,272.61 and 328.29 is: 492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.27 : 1,272.61 = 328.29 : x
  2. Step 2: Convert to fraction form
    848.27/1,272.61 = 328.29/x
  3. Step 3: Cross multiply
    848.27x = 1,272.61 × 328.29
  4. Step 4: Simplify right side
    848.27x = 417,780.77
  5. Step 5: Solve for x
    x = 417,780.77/848.27
  6. Step 6: Final answer
    x = 492.51

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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.