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Finding the Fourth Proportional to 461.69, 637.16 and 265.20

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Solution

The fourth proportional to 461.69, 637.16 and 265.20 is: 365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.69 : 637.16 = 265.20 : x
  2. Step 2: Convert to fraction form
    461.69/637.16 = 265.20/x
  3. Step 3: Cross multiply
    461.69x = 637.16 × 265.20
  4. Step 4: Simplify right side
    461.69x = 168,973.51
  5. Step 5: Solve for x
    x = 168,973.51/461.69
  6. Step 6: Final answer
    x = 365.99

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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.