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Finding the Fourth Proportional to 909.54, 1,364.54 and 361.54

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Solution

The fourth proportional to 909.54, 1,364.54 and 361.54 is: 542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.54 : 1,364.54 = 361.54 : x
  2. Step 2: Convert to fraction form
    909.54/1,364.54 = 361.54/x
  3. Step 3: Cross multiply
    909.54x = 1,364.54 × 361.54
  4. Step 4: Simplify right side
    909.54x = 493,335.79
  5. Step 5: Solve for x
    x = 493,335.79/909.54
  6. Step 6: Final answer
    x = 542.40

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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.