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Finding the Fourth Proportional to 384.45, 575.73 and 316.14

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Solution

The fourth proportional to 384.45, 575.73 and 316.14 is: 473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.45 : 575.73 = 316.14 : x
  2. Step 2: Convert to fraction form
    384.45/575.73 = 316.14/x
  3. Step 3: Cross multiply
    384.45x = 575.73 × 316.14
  4. Step 4: Simplify right side
    384.45x = 182,011.28
  5. Step 5: Solve for x
    x = 182,011.28/384.45
  6. Step 6: Final answer
    x = 473.43

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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.