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Finding the Fourth Proportional to 562.09, 775.93 and 341.11

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Solution

The fourth proportional to 562.09, 775.93 and 341.11 is: 470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.09 : 775.93 = 341.11 : x
  2. Step 2: Convert to fraction form
    562.09/775.93 = 341.11/x
  3. Step 3: Cross multiply
    562.09x = 775.93 × 341.11
  4. Step 4: Simplify right side
    562.09x = 264,678.24
  5. Step 5: Solve for x
    x = 264,678.24/562.09
  6. Step 6: Final answer
    x = 470.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.