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Finding the Fourth Proportional to 462, 637.65 and 275.52

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Solution

The fourth proportional to 462, 637.65 and 275.52 is: 380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 637.65 = 275.52 : x
  2. Step 2: Convert to fraction form
    462/637.65 = 275.52/x
  3. Step 3: Cross multiply
    462x = 637.65 × 275.52
  4. Step 4: Simplify right side
    462x = 175,685.33
  5. Step 5: Solve for x
    x = 175,685.33/462
  6. Step 6: Final answer
    x = 380.27

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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.