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Finding the Fourth Proportional to 478.77, 717.74 and 190.02

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Solution

The fourth proportional to 478.77, 717.74 and 190.02 is: 284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.77 : 717.74 = 190.02 : x
  2. Step 2: Convert to fraction form
    478.77/717.74 = 190.02/x
  3. Step 3: Cross multiply
    478.77x = 717.74 × 190.02
  4. Step 4: Simplify right side
    478.77x = 136,384.95
  5. Step 5: Solve for x
    x = 136,384.95/478.77
  6. Step 6: Final answer
    x = 284.87

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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.