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Finding the Fourth Proportional to 464.93, 697.70 and 248.66

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Solution

The fourth proportional to 464.93, 697.70 and 248.66 is: 373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.93 : 697.70 = 248.66 : x
  2. Step 2: Convert to fraction form
    464.93/697.70 = 248.66/x
  3. Step 3: Cross multiply
    464.93x = 697.70 × 248.66
  4. Step 4: Simplify right side
    464.93x = 173,487.22
  5. Step 5: Solve for x
    x = 173,487.22/464.93
  6. Step 6: Final answer
    x = 373.15

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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.