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Finding the Fourth Proportional to 576.16, 795.56 and 444.94

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Solution

The fourth proportional to 576.16, 795.56 and 444.94 is: 614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.16 : 795.56 = 444.94 : x
  2. Step 2: Convert to fraction form
    576.16/795.56 = 444.94/x
  3. Step 3: Cross multiply
    576.16x = 795.56 × 444.94
  4. Step 4: Simplify right side
    576.16x = 353,977.58
  5. Step 5: Solve for x
    x = 353,977.58/576.16
  6. Step 6: Final answer
    x = 614.37

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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.