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Finding the Fourth Proportional to 385.64, 577.96 and 294

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Solution

The fourth proportional to 385.64, 577.96 and 294 is: 440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.64 : 577.96 = 294 : x
  2. Step 2: Convert to fraction form
    385.64/577.96 = 294/x
  3. Step 3: Cross multiply
    385.64x = 577.96 × 294
  4. Step 4: Simplify right side
    385.64x = 169,920.24
  5. Step 5: Solve for x
    x = 169,920.24/385.64
  6. Step 6: Final answer
    x = 440.62

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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.