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Finding the Fourth Proportional to 464.50, 696.48 and 410.50

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Solution

The fourth proportional to 464.50, 696.48 and 410.50 is: 615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.50 : 696.48 = 410.50 : x
  2. Step 2: Convert to fraction form
    464.50/696.48 = 410.50/x
  3. Step 3: Cross multiply
    464.50x = 696.48 × 410.50
  4. Step 4: Simplify right side
    464.50x = 285,905.04
  5. Step 5: Solve for x
    x = 285,905.04/464.50
  6. Step 6: Final answer
    x = 615.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.