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Finding the Fourth Proportional to 846.84, 1,270.32 and 269.76

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Solution

The fourth proportional to 846.84, 1,270.32 and 269.76 is: 404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.84 : 1,270.32 = 269.76 : x
  2. Step 2: Convert to fraction form
    846.84/1,270.32 = 269.76/x
  3. Step 3: Cross multiply
    846.84x = 1,270.32 × 269.76
  4. Step 4: Simplify right side
    846.84x = 342,681.52
  5. Step 5: Solve for x
    x = 342,681.52/846.84
  6. Step 6: Final answer
    x = 404.66

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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.