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Finding the Fourth Proportional to 649.02, 971.64 and 340.14

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Solution

The fourth proportional to 649.02, 971.64 and 340.14 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.02 : 971.64 = 340.14 : x
  2. Step 2: Convert to fraction form
    649.02/971.64 = 340.14/x
  3. Step 3: Cross multiply
    649.02x = 971.64 × 340.14
  4. Step 4: Simplify right side
    649.02x = 330,493.63
  5. Step 5: Solve for x
    x = 330,493.63/649.02
  6. Step 6: Final answer
    x = 509.22

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Why These Related Problems?

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