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Finding the Fourth Proportional to 544.84, 752.04 and 446.84

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Solution

The fourth proportional to 544.84, 752.04 and 446.84 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.84 : 752.04 = 446.84 : x
  2. Step 2: Convert to fraction form
    544.84/752.04 = 446.84/x
  3. Step 3: Cross multiply
    544.84x = 752.04 × 446.84
  4. Step 4: Simplify right side
    544.84x = 336,041.55
  5. Step 5: Solve for x
    x = 336,041.55/544.84
  6. Step 6: Final answer
    x = 616.77

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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.