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Finding the Fourth Proportional to 466.10, 697.80 and 412.10

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Solution

The fourth proportional to 466.10, 697.80 and 412.10 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.10 : 697.80 = 412.10 : x
  2. Step 2: Convert to fraction form
    466.10/697.80 = 412.10/x
  3. Step 3: Cross multiply
    466.10x = 697.80 × 412.10
  4. Step 4: Simplify right side
    466.10x = 287,563.38
  5. Step 5: Solve for x
    x = 287,563.38/466.10
  6. Step 6: Final answer
    x = 616.96

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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.