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Finding the Fourth Proportional to 562.42, 776.12 and 341.54

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Solution

The fourth proportional to 562.42, 776.12 and 341.54 is: 471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.42 : 776.12 = 341.54 : x
  2. Step 2: Convert to fraction form
    562.42/776.12 = 341.54/x
  3. Step 3: Cross multiply
    562.42x = 776.12 × 341.54
  4. Step 4: Simplify right side
    562.42x = 265,076.02
  5. Step 5: Solve for x
    x = 265,076.02/562.42
  6. Step 6: Final answer
    x = 471.31

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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.