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Finding the Fourth Proportional to 909.74, 1,364.34 and 260.30

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Solution

The fourth proportional to 909.74, 1,364.34 and 260.30 is: 390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.74 : 1,364.34 = 260.30 : x
  2. Step 2: Convert to fraction form
    909.74/1,364.34 = 260.30/x
  3. Step 3: Cross multiply
    909.74x = 1,364.34 × 260.30
  4. Step 4: Simplify right side
    909.74x = 355,137.70
  5. Step 5: Solve for x
    x = 355,137.70/909.74
  6. Step 6: Final answer
    x = 390.37

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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.