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Finding the Fourth Proportional to 523.68, 785.52 and 469.80

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Solution

The fourth proportional to 523.68, 785.52 and 469.80 is: 704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 785.52 = 469.80 : x
  2. Step 2: Convert to fraction form
    523.68/785.52 = 469.80/x
  3. Step 3: Cross multiply
    523.68x = 785.52 × 469.80
  4. Step 4: Simplify right side
    523.68x = 369,037.30
  5. Step 5: Solve for x
    x = 369,037.30/523.68
  6. Step 6: Final answer
    x = 704.70

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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.