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Finding the Fourth Proportional to 862.42, 1,293.64 and 349.78

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Solution

The fourth proportional to 862.42, 1,293.64 and 349.78 is: 524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.42 : 1,293.64 = 349.78 : x
  2. Step 2: Convert to fraction form
    862.42/1,293.64 = 349.78/x
  3. Step 3: Cross multiply
    862.42x = 1,293.64 × 349.78
  4. Step 4: Simplify right side
    862.42x = 452,489.40
  5. Step 5: Solve for x
    x = 452,489.40/862.42
  6. Step 6: Final answer
    x = 524.67

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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.