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Finding the Fourth Proportional to 909.48, 1,364.28 and 260.22

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Solution

The fourth proportional to 909.48, 1,364.28 and 260.22 is: 390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.48 : 1,364.28 = 260.22 : x
  2. Step 2: Convert to fraction form
    909.48/1,364.28 = 260.22/x
  3. Step 3: Cross multiply
    909.48x = 1,364.28 × 260.22
  4. Step 4: Simplify right side
    909.48x = 355,012.94
  5. Step 5: Solve for x
    x = 355,012.94/909.48
  6. Step 6: Final answer
    x = 390.35

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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.