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Finding the Fourth Proportional to 852.25, 1,277.62 and 304.35

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Solution

The fourth proportional to 852.25, 1,277.62 and 304.35 is: 456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.25 : 1,277.62 = 304.35 : x
  2. Step 2: Convert to fraction form
    852.25/1,277.62 = 304.35/x
  3. Step 3: Cross multiply
    852.25x = 1,277.62 × 304.35
  4. Step 4: Simplify right side
    852.25x = 388,842.13
  5. Step 5: Solve for x
    x = 388,842.13/852.25
  6. Step 6: Final answer
    x = 456.25

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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.