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Finding the Fourth Proportional to 544.56, 752.40 and 414.24

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Solution

The fourth proportional to 544.56, 752.40 and 414.24 is: 572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.56 : 752.40 = 414.24 : x
  2. Step 2: Convert to fraction form
    544.56/752.40 = 414.24/x
  3. Step 3: Cross multiply
    544.56x = 752.40 × 414.24
  4. Step 4: Simplify right side
    544.56x = 311,674.18
  5. Step 5: Solve for x
    x = 311,674.18/544.56
  6. Step 6: Final answer
    x = 572.34

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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.