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Finding the Fourth Proportional to 909.82, 1,364.87 and 362.01

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Solution

The fourth proportional to 909.82, 1,364.87 and 362.01 is: 543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.82 : 1,364.87 = 362.01 : x
  2. Step 2: Convert to fraction form
    909.82/1,364.87 = 362.01/x
  3. Step 3: Cross multiply
    909.82x = 1,364.87 × 362.01
  4. Step 4: Simplify right side
    909.82x = 494,096.59
  5. Step 5: Solve for x
    x = 494,096.59/909.82
  6. Step 6: Final answer
    x = 543.07

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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.