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Finding the Fourth Proportional to 576.89, 795.43 and 466.02

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Solution

The fourth proportional to 576.89, 795.43 and 466.02 is: 642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.89 : 795.43 = 466.02 : x
  2. Step 2: Convert to fraction form
    576.89/795.43 = 466.02/x
  3. Step 3: Cross multiply
    576.89x = 795.43 × 466.02
  4. Step 4: Simplify right side
    576.89x = 370,689.85
  5. Step 5: Solve for x
    x = 370,689.85/576.89
  6. Step 6: Final answer
    x = 642.56

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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.