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Finding the Fourth Proportional to 410.02, 614.69 and 190.53

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Solution

The fourth proportional to 410.02, 614.69 and 190.53 is: 285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.02 : 614.69 = 190.53 : x
  2. Step 2: Convert to fraction form
    410.02/614.69 = 190.53/x
  3. Step 3: Cross multiply
    410.02x = 614.69 × 190.53
  4. Step 4: Simplify right side
    410.02x = 117,116.23
  5. Step 5: Solve for x
    x = 117,116.23/410.02
  6. Step 6: Final answer
    x = 285.64

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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.