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Finding the Fourth Proportional to 650.02, 973.14 and 341.14

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Solution

The fourth proportional to 650.02, 973.14 and 341.14 is: 510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.02 : 973.14 = 341.14 : x
  2. Step 2: Convert to fraction form
    650.02/973.14 = 341.14/x
  3. Step 3: Cross multiply
    650.02x = 973.14 × 341.14
  4. Step 4: Simplify right side
    650.02x = 331,976.98
  5. Step 5: Solve for x
    x = 331,976.98/650.02
  6. Step 6: Final answer
    x = 510.72

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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.