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Finding the Fourth Proportional to 464.74, 697.23 and 176.02

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Solution

The fourth proportional to 464.74, 697.23 and 176.02 is: 264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.74 : 697.23 = 176.02 : x
  2. Step 2: Convert to fraction form
    464.74/697.23 = 176.02/x
  3. Step 3: Cross multiply
    464.74x = 697.23 × 176.02
  4. Step 4: Simplify right side
    464.74x = 122,726.42
  5. Step 5: Solve for x
    x = 122,726.42/464.74
  6. Step 6: Final answer
    x = 264.08

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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.