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Finding the Fourth Proportional to 523.04, 785.43 and 328.46

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Solution

The fourth proportional to 523.04, 785.43 and 328.46 is: 493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 785.43 = 328.46 : x
  2. Step 2: Convert to fraction form
    523.04/785.43 = 328.46/x
  3. Step 3: Cross multiply
    523.04x = 785.43 × 328.46
  4. Step 4: Simplify right side
    523.04x = 257,978.41
  5. Step 5: Solve for x
    x = 257,978.41/523.04
  6. Step 6: Final answer
    x = 493.23

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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.