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Finding the Fourth Proportional to 909.84, 1,364.57 and 260.43

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Solution

The fourth proportional to 909.84, 1,364.57 and 260.43 is: 390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.84 : 1,364.57 = 260.43 : x
  2. Step 2: Convert to fraction form
    909.84/1,364.57 = 260.43/x
  3. Step 3: Cross multiply
    909.84x = 1,364.57 × 260.43
  4. Step 4: Simplify right side
    909.84x = 355,366.84
  5. Step 5: Solve for x
    x = 355,366.84/909.84
  6. Step 6: Final answer
    x = 390.58

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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.