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Finding the Fourth Proportional to 312.65, 432.02 and 271.07

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Solution

The fourth proportional to 312.65, 432.02 and 271.07 is: 374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.65 : 432.02 = 271.07 : x
  2. Step 2: Convert to fraction form
    312.65/432.02 = 271.07/x
  3. Step 3: Cross multiply
    312.65x = 432.02 × 271.07
  4. Step 4: Simplify right side
    312.65x = 117,106.18
  5. Step 5: Solve for x
    x = 117,106.18/312.65
  6. Step 6: Final answer
    x = 374.57

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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.