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Finding the Fourth Proportional to 384.31, 575.43 and 351.81

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Solution

The fourth proportional to 384.31, 575.43 and 351.81 is: 526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.31 : 575.43 = 351.81 : x
  2. Step 2: Convert to fraction form
    384.31/575.43 = 351.81/x
  3. Step 3: Cross multiply
    384.31x = 575.43 × 351.81
  4. Step 4: Simplify right side
    384.31x = 202,441.19
  5. Step 5: Solve for x
    x = 202,441.19/384.31
  6. Step 6: Final answer
    x = 526.77

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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.