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Finding the Fourth Proportional to 385.57, 577.86 and 304.57

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Solution

The fourth proportional to 385.57, 577.86 and 304.57 is: 456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.57 : 577.86 = 304.57 : x
  2. Step 2: Convert to fraction form
    385.57/577.86 = 304.57/x
  3. Step 3: Cross multiply
    385.57x = 577.86 × 304.57
  4. Step 4: Simplify right side
    385.57x = 175,998.82
  5. Step 5: Solve for x
    x = 175,998.82/385.57
  6. Step 6: Final answer
    x = 456.46

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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.