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Finding the Fourth Proportional to 909.56, 1,364.06 and 361.72

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Solution

The fourth proportional to 909.56, 1,364.06 and 361.72 is: 542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.56 : 1,364.06 = 361.72 : x
  2. Step 2: Convert to fraction form
    909.56/1,364.06 = 361.72/x
  3. Step 3: Cross multiply
    909.56x = 1,364.06 × 361.72
  4. Step 4: Simplify right side
    909.56x = 493,407.78
  5. Step 5: Solve for x
    x = 493,407.78/909.56
  6. Step 6: Final answer
    x = 542.47

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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.