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Finding the Fourth Proportional to 385.49, 578.73 and 304.40

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Solution

The fourth proportional to 385.49, 578.73 and 304.40 is: 456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.49 : 578.73 = 304.40 : x
  2. Step 2: Convert to fraction form
    385.49/578.73 = 304.40/x
  3. Step 3: Cross multiply
    385.49x = 578.73 × 304.40
  4. Step 4: Simplify right side
    385.49x = 176,165.41
  5. Step 5: Solve for x
    x = 176,165.41/385.49
  6. Step 6: Final answer
    x = 456.99

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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.