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Finding the Fourth Proportional to 610.16, 842.08 and 374.16

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Solution

The fourth proportional to 610.16, 842.08 and 374.16 is: 516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.16 : 842.08 = 374.16 : x
  2. Step 2: Convert to fraction form
    610.16/842.08 = 374.16/x
  3. Step 3: Cross multiply
    610.16x = 842.08 × 374.16
  4. Step 4: Simplify right side
    610.16x = 315,072.65
  5. Step 5: Solve for x
    x = 315,072.65/610.16
  6. Step 6: Final answer
    x = 516.38

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.