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Finding the Fourth Proportional to 544.08, 750.32 and 419.55

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Solution

The fourth proportional to 544.08, 750.32 and 419.55 is: 578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.08 : 750.32 = 419.55 : x
  2. Step 2: Convert to fraction form
    544.08/750.32 = 419.55/x
  3. Step 3: Cross multiply
    544.08x = 750.32 × 419.55
  4. Step 4: Simplify right side
    544.08x = 314,793.42
  5. Step 5: Solve for x
    x = 314,793.42/544.08
  6. Step 6: Final answer
    x = 578.58

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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.