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Finding the Fourth Proportional to 852.33, 1,277.58 and 304.15

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Solution

The fourth proportional to 852.33, 1,277.58 and 304.15 is: 455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.33 : 1,277.58 = 304.15 : x
  2. Step 2: Convert to fraction form
    852.33/1,277.58 = 304.15/x
  3. Step 3: Cross multiply
    852.33x = 1,277.58 × 304.15
  4. Step 4: Simplify right side
    852.33x = 388,572.76
  5. Step 5: Solve for x
    x = 388,572.76/852.33
  6. Step 6: Final answer
    x = 455.89

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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.