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Finding the Fourth Proportional to 902.91, 1,354.41 and 253.65

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Solution

The fourth proportional to 902.91, 1,354.41 and 253.65 is: 380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.91 : 1,354.41 = 253.65 : x
  2. Step 2: Convert to fraction form
    902.91/1,354.41 = 253.65/x
  3. Step 3: Cross multiply
    902.91x = 1,354.41 × 253.65
  4. Step 4: Simplify right side
    902.91x = 343,546.10
  5. Step 5: Solve for x
    x = 343,546.10/902.91
  6. Step 6: Final answer
    x = 380.49

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Double scale
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1.5x scale

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.