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Finding the Fourth Proportional to 909.76, 1,364.56 and 293.30

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Solution

The fourth proportional to 909.76, 1,364.56 and 293.30 is: 439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.76 : 1,364.56 = 293.30 : x
  2. Step 2: Convert to fraction form
    909.76/1,364.56 = 293.30/x
  3. Step 3: Cross multiply
    909.76x = 1,364.56 × 293.30
  4. Step 4: Simplify right side
    909.76x = 400,225.45
  5. Step 5: Solve for x
    x = 400,225.45/909.76
  6. Step 6: Final answer
    x = 439.92

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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.