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Finding the Fourth Proportional to 385.14, 577.59 and 264.18

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Solution

The fourth proportional to 385.14, 577.59 and 264.18 is: 396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.14 : 577.59 = 264.18 : x
  2. Step 2: Convert to fraction form
    385.14/577.59 = 264.18/x
  3. Step 3: Cross multiply
    385.14x = 577.59 × 264.18
  4. Step 4: Simplify right side
    385.14x = 152,587.73
  5. Step 5: Solve for x
    x = 152,587.73/385.14
  6. Step 6: Final answer
    x = 396.19

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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.