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Finding the Fourth Proportional to 630.35, 945.71 and 562.34

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Solution

The fourth proportional to 630.35, 945.71 and 562.34 is: 843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.35 : 945.71 = 562.34 : x
  2. Step 2: Convert to fraction form
    630.35/945.71 = 562.34/x
  3. Step 3: Cross multiply
    630.35x = 945.71 × 562.34
  4. Step 4: Simplify right side
    630.35x = 531,803.02
  5. Step 5: Solve for x
    x = 531,803.02/630.35
  6. Step 6: Final answer
    x = 843.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.