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Finding the Fourth Proportional to 909.63, 1,364.14 and 361.82

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Solution

The fourth proportional to 909.63, 1,364.14 and 361.82 is: 542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.63 : 1,364.14 = 361.82 : x
  2. Step 2: Convert to fraction form
    909.63/1,364.14 = 361.82/x
  3. Step 3: Cross multiply
    909.63x = 1,364.14 × 361.82
  4. Step 4: Simplify right side
    909.63x = 493,569.32
  5. Step 5: Solve for x
    x = 493,569.32/909.63
  6. Step 6: Final answer
    x = 542.60

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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.