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Finding the Fourth Proportional to 576.57, 795.66 and 314.58

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Solution

The fourth proportional to 576.57, 795.66 and 314.58 is: 434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.57 : 795.66 = 314.58 : x
  2. Step 2: Convert to fraction form
    576.57/795.66 = 314.58/x
  3. Step 3: Cross multiply
    576.57x = 795.66 × 314.58
  4. Step 4: Simplify right side
    576.57x = 250,298.72
  5. Step 5: Solve for x
    x = 250,298.72/576.57
  6. Step 6: Final answer
    x = 434.12

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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.