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Finding the Fourth Proportional to 562.81, 776.73 and 341.82

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Solution

The fourth proportional to 562.81, 776.73 and 341.82 is: 471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.81 : 776.73 = 341.82 : x
  2. Step 2: Convert to fraction form
    562.81/776.73 = 341.82/x
  3. Step 3: Cross multiply
    562.81x = 776.73 × 341.82
  4. Step 4: Simplify right side
    562.81x = 265,501.85
  5. Step 5: Solve for x
    x = 265,501.85/562.81
  6. Step 6: Final answer
    x = 471.74

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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.