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Finding the Fourth Proportional to 848.29, 1,272.51 and 232.00

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Solution

The fourth proportional to 848.29, 1,272.51 and 232.00 is: 348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.29 : 1,272.51 = 232.00 : x
  2. Step 2: Convert to fraction form
    848.29/1,272.51 = 232.00/x
  3. Step 3: Cross multiply
    848.29x = 1,272.51 × 232.00
  4. Step 4: Simplify right side
    848.29x = 295,219.14
  5. Step 5: Solve for x
    x = 295,219.14/848.29
  6. Step 6: Final answer
    x = 348.02

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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.