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Finding the Fourth Proportional to 313.26, 432.64 and 244.16

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Solution

The fourth proportional to 313.26, 432.64 and 244.16 is: 337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 432.64 = 244.16 : x
  2. Step 2: Convert to fraction form
    313.26/432.64 = 244.16/x
  3. Step 3: Cross multiply
    313.26x = 432.64 × 244.16
  4. Step 4: Simplify right side
    313.26x = 105,633.38
  5. Step 5: Solve for x
    x = 105,633.38/313.26
  6. Step 6: Final answer
    x = 337.21

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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.