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Finding the Fourth Proportional to 523.47, 784.26 and 292.08

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Solution

The fourth proportional to 523.47, 784.26 and 292.08 is: 437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.47 : 784.26 = 292.08 : x
  2. Step 2: Convert to fraction form
    523.47/784.26 = 292.08/x
  3. Step 3: Cross multiply
    523.47x = 784.26 × 292.08
  4. Step 4: Simplify right side
    523.47x = 229,066.66
  5. Step 5: Solve for x
    x = 229,066.66/523.47
  6. Step 6: Final answer
    x = 437.59

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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.