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Finding the Fourth Proportional to 909.18, 1,364.36 and 361.26

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Solution

The fourth proportional to 909.18, 1,364.36 and 361.26 is: 542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.18 : 1,364.36 = 361.26 : x
  2. Step 2: Convert to fraction form
    909.18/1,364.36 = 361.26/x
  3. Step 3: Cross multiply
    909.18x = 1,364.36 × 361.26
  4. Step 4: Simplify right side
    909.18x = 492,886.89
  5. Step 5: Solve for x
    x = 492,886.89/909.18
  6. Step 6: Final answer
    x = 542.12

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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.