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Finding the Fourth Proportional to 544.46, 752.09 and 434.70

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Solution

The fourth proportional to 544.46, 752.09 and 434.70 is: 600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.46 : 752.09 = 434.70 : x
  2. Step 2: Convert to fraction form
    544.46/752.09 = 434.70/x
  3. Step 3: Cross multiply
    544.46x = 752.09 × 434.70
  4. Step 4: Simplify right side
    544.46x = 326,931.35
  5. Step 5: Solve for x
    x = 326,931.35/544.46
  6. Step 6: Final answer
    x = 600.47

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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.