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Finding the Fourth Proportional to 562.82, 776.66 and 314.13

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Solution

The fourth proportional to 562.82, 776.66 and 314.13 is: 433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 776.66 = 314.13 : x
  2. Step 2: Convert to fraction form
    562.82/776.66 = 314.13/x
  3. Step 3: Cross multiply
    562.82x = 776.66 × 314.13
  4. Step 4: Simplify right side
    562.82x = 243,970.64
  5. Step 5: Solve for x
    x = 243,970.64/562.82
  6. Step 6: Final answer
    x = 433.48

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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.