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Finding the Fourth Proportional to 461.99, 637.68 and 265.63

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Solution

The fourth proportional to 461.99, 637.68 and 265.63 is: 366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.99 : 637.68 = 265.63 : x
  2. Step 2: Convert to fraction form
    461.99/637.68 = 265.63/x
  3. Step 3: Cross multiply
    461.99x = 637.68 × 265.63
  4. Step 4: Simplify right side
    461.99x = 169,385.34
  5. Step 5: Solve for x
    x = 169,385.34/461.99
  6. Step 6: Final answer
    x = 366.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.