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Finding the Fourth Proportional to 562.99, 776.94 and 314.33

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Solution

The fourth proportional to 562.99, 776.94 and 314.33 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.99 : 776.94 = 314.33 : x
  2. Step 2: Convert to fraction form
    562.99/776.94 = 314.33/x
  3. Step 3: Cross multiply
    562.99x = 776.94 × 314.33
  4. Step 4: Simplify right side
    562.99x = 244,215.55
  5. Step 5: Solve for x
    x = 244,215.55/562.99
  6. Step 6: Final answer
    x = 433.79

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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.