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Finding the Fourth Proportional to 461.84, 637.36 and 265.35

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Solution

The fourth proportional to 461.84, 637.36 and 265.35 is: 366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.84 : 637.36 = 265.35 : x
  2. Step 2: Convert to fraction form
    461.84/637.36 = 265.35/x
  3. Step 3: Cross multiply
    461.84x = 637.36 × 265.35
  4. Step 4: Simplify right side
    461.84x = 169,122.81
  5. Step 5: Solve for x
    x = 169,122.81/461.84
  6. Step 6: Final answer
    x = 366.19

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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.