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Finding the Fourth Proportional to 524.54, 786.58 and 466.83

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Solution

The fourth proportional to 524.54, 786.58 and 466.83 is: 700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.54 : 786.58 = 466.83 : x
  2. Step 2: Convert to fraction form
    524.54/786.58 = 466.83/x
  3. Step 3: Cross multiply
    524.54x = 786.58 × 466.83
  4. Step 4: Simplify right side
    524.54x = 367,197.97
  5. Step 5: Solve for x
    x = 367,197.97/524.54
  6. Step 6: Final answer
    x = 700.03

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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.