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Finding the Fourth Proportional to 384.58, 530.62 and 227.22

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Solution

The fourth proportional to 384.58, 530.62 and 227.22 is: 313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.58 : 530.62 = 227.22 : x
  2. Step 2: Convert to fraction form
    384.58/530.62 = 227.22/x
  3. Step 3: Cross multiply
    384.58x = 530.62 × 227.22
  4. Step 4: Simplify right side
    384.58x = 120,567.48
  5. Step 5: Solve for x
    x = 120,567.48/384.58
  6. Step 6: Final answer
    x = 313.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.