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Finding the Fourth Proportional to 524.79, 786.49 and 469.62

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Solution

The fourth proportional to 524.79, 786.49 and 469.62 is: 703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.79 : 786.49 = 469.62 : x
  2. Step 2: Convert to fraction form
    524.79/786.49 = 469.62/x
  3. Step 3: Cross multiply
    524.79x = 786.49 × 469.62
  4. Step 4: Simplify right side
    524.79x = 369,351.43
  5. Step 5: Solve for x
    x = 369,351.43/524.79
  6. Step 6: Final answer
    x = 703.81

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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.