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Finding the Fourth Proportional to 524.70, 785.84 and 416.57

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Solution

The fourth proportional to 524.70, 785.84 and 416.57 is: 623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.70 : 785.84 = 416.57 : x
  2. Step 2: Convert to fraction form
    524.70/785.84 = 416.57/x
  3. Step 3: Cross multiply
    524.70x = 785.84 × 416.57
  4. Step 4: Simplify right side
    524.70x = 327,351.36
  5. Step 5: Solve for x
    x = 327,351.36/524.70
  6. Step 6: Final answer
    x = 623.88

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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.