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Finding the Fourth Proportional to 562.61, 776.14 and 341.42

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Solution

The fourth proportional to 562.61, 776.14 and 341.42 is: 470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.61 : 776.14 = 341.42 : x
  2. Step 2: Convert to fraction form
    562.61/776.14 = 341.42/x
  3. Step 3: Cross multiply
    562.61x = 776.14 × 341.42
  4. Step 4: Simplify right side
    562.61x = 264,984.98
  5. Step 5: Solve for x
    x = 264,984.98/562.61
  6. Step 6: Final answer
    x = 470.99

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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.