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Finding the Fourth Proportional to 576.63, 795.75 and 314.65

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Solution

The fourth proportional to 576.63, 795.75 and 314.65 is: 434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.63 : 795.75 = 314.65 : x
  2. Step 2: Convert to fraction form
    576.63/795.75 = 314.65/x
  3. Step 3: Cross multiply
    576.63x = 795.75 × 314.65
  4. Step 4: Simplify right side
    576.63x = 250,382.74
  5. Step 5: Solve for x
    x = 250,382.74/576.63
  6. Step 6: Final answer
    x = 434.22

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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.