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Finding the Fourth Proportional to 478.95, 719.38 and 377.09

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Solution

The fourth proportional to 478.95, 719.38 and 377.09 is: 566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.95 : 719.38 = 377.09 : x
  2. Step 2: Convert to fraction form
    478.95/719.38 = 377.09/x
  3. Step 3: Cross multiply
    478.95x = 719.38 × 377.09
  4. Step 4: Simplify right side
    478.95x = 271,270.58
  5. Step 5: Solve for x
    x = 271,270.58/478.95
  6. Step 6: Final answer
    x = 566.39

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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.