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Finding the Fourth Proportional to 562.98, 776.84 and 314.27

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Solution

The fourth proportional to 562.98, 776.84 and 314.27 is: 433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.98 : 776.84 = 314.27 : x
  2. Step 2: Convert to fraction form
    562.98/776.84 = 314.27/x
  3. Step 3: Cross multiply
    562.98x = 776.84 × 314.27
  4. Step 4: Simplify right side
    562.98x = 244,137.51
  5. Step 5: Solve for x
    x = 244,137.51/562.98
  6. Step 6: Final answer
    x = 433.65

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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.