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Finding the Fourth Proportional to 693.14, 955.45 and 471.71

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Solution

The fourth proportional to 693.14, 955.45 and 471.71 is: 650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.14 : 955.45 = 471.71 : x
  2. Step 2: Convert to fraction form
    693.14/955.45 = 471.71/x
  3. Step 3: Cross multiply
    693.14x = 955.45 × 471.71
  4. Step 4: Simplify right side
    693.14x = 450,688.18
  5. Step 5: Solve for x
    x = 450,688.18/693.14
  6. Step 6: Final answer
    x = 650.22

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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.