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Finding the Fourth Proportional to 576.78, 795.60 and 466.26

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Solution

The fourth proportional to 576.78, 795.60 and 466.26 is: 643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.78 : 795.60 = 466.26 : x
  2. Step 2: Convert to fraction form
    576.78/795.60 = 466.26/x
  3. Step 3: Cross multiply
    576.78x = 795.60 × 466.26
  4. Step 4: Simplify right side
    576.78x = 370,956.46
  5. Step 5: Solve for x
    x = 370,956.46/576.78
  6. Step 6: Final answer
    x = 643.15

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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.