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Finding the Fourth Proportional to 562.44, 776.23 and 341.42

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Solution

The fourth proportional to 562.44, 776.23 and 341.42 is: 471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.44 : 776.23 = 341.42 : x
  2. Step 2: Convert to fraction form
    562.44/776.23 = 341.42/x
  3. Step 3: Cross multiply
    562.44x = 776.23 × 341.42
  4. Step 4: Simplify right side
    562.44x = 265,017.63
  5. Step 5: Solve for x
    x = 265,017.63/562.44
  6. Step 6: Final answer
    x = 471.19

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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.