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Finding the Fourth Proportional to 384.56, 577.40 and 222.56

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Solution

The fourth proportional to 384.56, 577.40 and 222.56 is: 334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.56 : 577.40 = 222.56 : x
  2. Step 2: Convert to fraction form
    384.56/577.40 = 222.56/x
  3. Step 3: Cross multiply
    384.56x = 577.40 × 222.56
  4. Step 4: Simplify right side
    384.56x = 128,506.14
  5. Step 5: Solve for x
    x = 128,506.14/384.56
  6. Step 6: Final answer
    x = 334.16

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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.