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Finding the Fourth Proportional to 522.06, 784.31 and 305.79

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Solution

The fourth proportional to 522.06, 784.31 and 305.79 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.06 : 784.31 = 305.79 : x
  2. Step 2: Convert to fraction form
    522.06/784.31 = 305.79/x
  3. Step 3: Cross multiply
    522.06x = 784.31 × 305.79
  4. Step 4: Simplify right side
    522.06x = 239,832.63
  5. Step 5: Solve for x
    x = 239,832.63/522.06
  6. Step 6: Final answer
    x = 459.40

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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.