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Finding the Fourth Proportional to 385.61, 577.94 and 263.70

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Solution

The fourth proportional to 385.61, 577.94 and 263.70 is: 395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.61 : 577.94 = 263.70 : x
  2. Step 2: Convert to fraction form
    385.61/577.94 = 263.70/x
  3. Step 3: Cross multiply
    385.61x = 577.94 × 263.70
  4. Step 4: Simplify right side
    385.61x = 152,401.46
  5. Step 5: Solve for x
    x = 152,401.46/385.61
  6. Step 6: Final answer
    x = 395.23

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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.