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Finding the Fourth Proportional to 385.34, 577.60 and 223.07

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Solution

The fourth proportional to 385.34, 577.60 and 223.07 is: 334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.34 : 577.60 = 223.07 : x
  2. Step 2: Convert to fraction form
    385.34/577.60 = 223.07/x
  3. Step 3: Cross multiply
    385.34x = 577.60 × 223.07
  4. Step 4: Simplify right side
    385.34x = 128,841.79
  5. Step 5: Solve for x
    x = 128,841.79/385.34
  6. Step 6: Final answer
    x = 334.36

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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.