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Finding the Fourth Proportional to 852.35, 1,277.82 and 332.08

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Solution

The fourth proportional to 852.35, 1,277.82 and 332.08 is: 497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.35 : 1,277.82 = 332.08 : x
  2. Step 2: Convert to fraction form
    852.35/1,277.82 = 332.08/x
  3. Step 3: Cross multiply
    852.35x = 1,277.82 × 332.08
  4. Step 4: Simplify right side
    852.35x = 424,335.27
  5. Step 5: Solve for x
    x = 424,335.27/852.35
  6. Step 6: Final answer
    x = 497.84

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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.