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Finding the Fourth Proportional to 650.70, 973.59 and 362.34

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Solution

The fourth proportional to 650.70, 973.59 and 362.34 is: 542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.70 : 973.59 = 362.34 : x
  2. Step 2: Convert to fraction form
    650.70/973.59 = 362.34/x
  3. Step 3: Cross multiply
    650.70x = 973.59 × 362.34
  4. Step 4: Simplify right side
    650.70x = 352,770.60
  5. Step 5: Solve for x
    x = 352,770.60/650.70
  6. Step 6: Final answer
    x = 542.14

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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.