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Finding the Fourth Proportional to 544.67, 751.14 and 420.14

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Solution

The fourth proportional to 544.67, 751.14 and 420.14 is: 579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.67 : 751.14 = 420.14 : x
  2. Step 2: Convert to fraction form
    544.67/751.14 = 420.14/x
  3. Step 3: Cross multiply
    544.67x = 751.14 × 420.14
  4. Step 4: Simplify right side
    544.67x = 315,579.15
  5. Step 5: Solve for x
    x = 315,579.15/544.67
  6. Step 6: Final answer
    x = 579.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.