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Finding the Fourth Proportional to 464.30, 696.45 and 461.10

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Solution

The fourth proportional to 464.30, 696.45 and 461.10 is: 691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.30 : 696.45 = 461.10 : x
  2. Step 2: Convert to fraction form
    464.30/696.45 = 461.10/x
  3. Step 3: Cross multiply
    464.30x = 696.45 × 461.10
  4. Step 4: Simplify right side
    464.30x = 321,133.10
  5. Step 5: Solve for x
    x = 321,133.10/464.30
  6. Step 6: Final answer
    x = 691.65

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Double scale
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Similar ratio
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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.