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Finding the Fourth Proportional to 523.23, 784.53 and 306.35

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Solution

The fourth proportional to 523.23, 784.53 and 306.35 is: 459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.23 : 784.53 = 306.35 : x
  2. Step 2: Convert to fraction form
    523.23/784.53 = 306.35/x
  3. Step 3: Cross multiply
    523.23x = 784.53 × 306.35
  4. Step 4: Simplify right side
    523.23x = 240,340.77
  5. Step 5: Solve for x
    x = 240,340.77/523.23
  6. Step 6: Final answer
    x = 459.34

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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.