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Finding the Fourth Proportional to 562.11, 775.69 and 313.42

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Solution

The fourth proportional to 562.11, 775.69 and 313.42 is: 432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.11 : 775.69 = 313.42 : x
  2. Step 2: Convert to fraction form
    562.11/775.69 = 313.42/x
  3. Step 3: Cross multiply
    562.11x = 775.69 × 313.42
  4. Step 4: Simplify right side
    562.11x = 243,112.88
  5. Step 5: Solve for x
    x = 243,112.88/562.11
  6. Step 6: Final answer
    x = 432.50

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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.