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Finding the Fourth Proportional to 562.96, 776.82 and 314.26

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Solution

The fourth proportional to 562.96, 776.82 and 314.26 is: 433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.96 : 776.82 = 314.26 : x
  2. Step 2: Convert to fraction form
    562.96/776.82 = 314.26/x
  3. Step 3: Cross multiply
    562.96x = 776.82 × 314.26
  4. Step 4: Simplify right side
    562.96x = 244,123.45
  5. Step 5: Solve for x
    x = 244,123.45/562.96
  6. Step 6: Final answer
    x = 433.64

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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.