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Finding the Fourth Proportional to 523.43, 784.95 and 318.26

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Solution

The fourth proportional to 523.43, 784.95 and 318.26 is: 477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.43 : 784.95 = 318.26 : x
  2. Step 2: Convert to fraction form
    523.43/784.95 = 318.26/x
  3. Step 3: Cross multiply
    523.43x = 784.95 × 318.26
  4. Step 4: Simplify right side
    523.43x = 249,818.19
  5. Step 5: Solve for x
    x = 249,818.19/523.43
  6. Step 6: Final answer
    x = 477.27

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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.