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Finding the Fourth Proportional to 461.56, 689.33 and 364.36

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Solution

The fourth proportional to 461.56, 689.33 and 364.36 is: 544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.56 : 689.33 = 364.36 : x
  2. Step 2: Convert to fraction form
    461.56/689.33 = 364.36/x
  3. Step 3: Cross multiply
    461.56x = 689.33 × 364.36
  4. Step 4: Simplify right side
    461.56x = 251,164.28
  5. Step 5: Solve for x
    x = 251,164.28/461.56
  6. Step 6: Final answer
    x = 544.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.