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Finding the Fourth Proportional to 464.90, 697.35 and 464.90

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Solution

The fourth proportional to 464.90, 697.35 and 464.90 is: 697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.90 : 697.35 = 464.90 : x
  2. Step 2: Convert to fraction form
    464.90/697.35 = 464.90/x
  3. Step 3: Cross multiply
    464.90x = 697.35 × 464.90
  4. Step 4: Simplify right side
    464.90x = 324,198.02
  5. Step 5: Solve for x
    x = 324,198.02/464.90
  6. Step 6: Final answer
    x = 697.35

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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.