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Finding the Fourth Proportional to 385.69, 577.63 and 298.74

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Solution

The fourth proportional to 385.69, 577.63 and 298.74 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.69 : 577.63 = 298.74 : x
  2. Step 2: Convert to fraction form
    385.69/577.63 = 298.74/x
  3. Step 3: Cross multiply
    385.69x = 577.63 × 298.74
  4. Step 4: Simplify right side
    385.69x = 172,564.29
  5. Step 5: Solve for x
    x = 172,564.29/385.69
  6. Step 6: Final answer
    x = 447.42

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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.