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Finding the Fourth Proportional to 385.14, 578.22 and 303.13

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Solution

The fourth proportional to 385.14, 578.22 and 303.13 is: 455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.14 : 578.22 = 303.13 : x
  2. Step 2: Convert to fraction form
    385.14/578.22 = 303.13/x
  3. Step 3: Cross multiply
    385.14x = 578.22 × 303.13
  4. Step 4: Simplify right side
    385.14x = 175,275.83
  5. Step 5: Solve for x
    x = 175,275.83/385.14
  6. Step 6: Final answer
    x = 455.10

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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.