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Finding the Fourth Proportional to 464.56, 697.16 and 207.92

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Solution

The fourth proportional to 464.56, 697.16 and 207.92 is: 312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.56 : 697.16 = 207.92 : x
  2. Step 2: Convert to fraction form
    464.56/697.16 = 207.92/x
  3. Step 3: Cross multiply
    464.56x = 697.16 × 207.92
  4. Step 4: Simplify right side
    464.56x = 144,953.51
  5. Step 5: Solve for x
    x = 144,953.51/464.56
  6. Step 6: Final answer
    x = 312.02

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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.