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Finding the Fourth Proportional to 436.74, 650.70 and 416.10

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Solution

The fourth proportional to 436.74, 650.70 and 416.10 is: 619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.74 : 650.70 = 416.10 : x
  2. Step 2: Convert to fraction form
    436.74/650.70 = 416.10/x
  3. Step 3: Cross multiply
    436.74x = 650.70 × 416.10
  4. Step 4: Simplify right side
    436.74x = 270,756.27
  5. Step 5: Solve for x
    x = 270,756.27/436.74
  6. Step 6: Final answer
    x = 619.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.