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Finding the Fourth Proportional to 523.86, 784.56 and 317.96

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Solution

The fourth proportional to 523.86, 784.56 and 317.96 is: 476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.86 : 784.56 = 317.96 : x
  2. Step 2: Convert to fraction form
    523.86/784.56 = 317.96/x
  3. Step 3: Cross multiply
    523.86x = 784.56 × 317.96
  4. Step 4: Simplify right side
    523.86x = 249,458.70
  5. Step 5: Solve for x
    x = 249,458.70/523.86
  6. Step 6: Final answer
    x = 476.19

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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.