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Finding the Fourth Proportional to 315.71, 435.89 and 242.41

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Solution

The fourth proportional to 315.71, 435.89 and 242.41 is: 334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.71 : 435.89 = 242.41 : x
  2. Step 2: Convert to fraction form
    315.71/435.89 = 242.41/x
  3. Step 3: Cross multiply
    315.71x = 435.89 × 242.41
  4. Step 4: Simplify right side
    315.71x = 105,664.09
  5. Step 5: Solve for x
    x = 105,664.09/315.71
  6. Step 6: Final answer
    x = 334.69

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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.