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Finding the Fourth Proportional to 478.89, 717.93 and 190.14

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Solution

The fourth proportional to 478.89, 717.93 and 190.14 is: 285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.89 : 717.93 = 190.14 : x
  2. Step 2: Convert to fraction form
    478.89/717.93 = 190.14/x
  3. Step 3: Cross multiply
    478.89x = 717.93 × 190.14
  4. Step 4: Simplify right side
    478.89x = 136,507.21
  5. Step 5: Solve for x
    x = 136,507.21/478.89
  6. Step 6: Final answer
    x = 285.05

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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.