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Finding the Fourth Proportional to 524.61, 786.20 and 466.29

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Solution

The fourth proportional to 524.61, 786.20 and 466.29 is: 698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.61 : 786.20 = 466.29 : x
  2. Step 2: Convert to fraction form
    524.61/786.20 = 466.29/x
  3. Step 3: Cross multiply
    524.61x = 786.20 × 466.29
  4. Step 4: Simplify right side
    524.61x = 366,594.87
  5. Step 5: Solve for x
    x = 366,594.87/524.61
  6. Step 6: Final answer
    x = 698.80

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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.