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Finding the Fourth Proportional to 576.65, 795.78 and 314.67

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Solution

The fourth proportional to 576.65, 795.78 and 314.67 is: 434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.65 : 795.78 = 314.67 : x
  2. Step 2: Convert to fraction form
    576.65/795.78 = 314.67/x
  3. Step 3: Cross multiply
    576.65x = 795.78 × 314.67
  4. Step 4: Simplify right side
    576.65x = 250,408.09
  5. Step 5: Solve for x
    x = 250,408.09/576.65
  6. Step 6: Final answer
    x = 434.25

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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.