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Finding the Fourth Proportional to 544.66, 751.98 and 420.10

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Solution

The fourth proportional to 544.66, 751.98 and 420.10 is: 580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.66 : 751.98 = 420.10 : x
  2. Step 2: Convert to fraction form
    544.66/751.98 = 420.10/x
  3. Step 3: Cross multiply
    544.66x = 751.98 × 420.10
  4. Step 4: Simplify right side
    544.66x = 315,906.80
  5. Step 5: Solve for x
    x = 315,906.80/544.66
  6. Step 6: Final answer
    x = 580.01

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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.