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Finding the Fourth Proportional to 909.52, 1,364.30 and 361.84

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Solution

The fourth proportional to 909.52, 1,364.30 and 361.84 is: 542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.52 : 1,364.30 = 361.84 : x
  2. Step 2: Convert to fraction form
    909.52/1,364.30 = 361.84/x
  3. Step 3: Cross multiply
    909.52x = 1,364.30 × 361.84
  4. Step 4: Simplify right side
    909.52x = 493,658.31
  5. Step 5: Solve for x
    x = 493,658.31/909.52
  6. Step 6: Final answer
    x = 542.77

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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.