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Finding the Fourth Proportional to 909.74, 1,364 and 293.24

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Solution

The fourth proportional to 909.74, 1,364 and 293.24 is: 439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.74 : 1,364 = 293.24 : x
  2. Step 2: Convert to fraction form
    909.74/1,364 = 293.24/x
  3. Step 3: Cross multiply
    909.74x = 1,364 × 293.24
  4. Step 4: Simplify right side
    909.74x = 399,979.36
  5. Step 5: Solve for x
    x = 399,979.36/909.74
  6. Step 6: Final answer
    x = 439.66

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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.