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Finding the Fourth Proportional to 385.01, 577.71 and 294.29

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Solution

The fourth proportional to 385.01, 577.71 and 294.29 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.01 : 577.71 = 294.29 : x
  2. Step 2: Convert to fraction form
    385.01/577.71 = 294.29/x
  3. Step 3: Cross multiply
    385.01x = 577.71 × 294.29
  4. Step 4: Simplify right side
    385.01x = 170,011.39
  5. Step 5: Solve for x
    x = 170,011.39/385.01
  6. Step 6: Final answer
    x = 441.58

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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.