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Finding the Fourth Proportional to 313.65, 432.49 and 214.07

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Solution

The fourth proportional to 313.65, 432.49 and 214.07 is: 295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.65 : 432.49 = 214.07 : x
  2. Step 2: Convert to fraction form
    313.65/432.49 = 214.07/x
  3. Step 3: Cross multiply
    313.65x = 432.49 × 214.07
  4. Step 4: Simplify right side
    313.65x = 92,585.02
  5. Step 5: Solve for x
    x = 92,585.02/313.65
  6. Step 6: Final answer
    x = 295.19

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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.