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Finding the Fourth Proportional to 312.93, 469.62 and 231.53

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Solution

The fourth proportional to 312.93, 469.62 and 231.53 is: 347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.93 : 469.62 = 231.53 : x
  2. Step 2: Convert to fraction form
    312.93/469.62 = 231.53/x
  3. Step 3: Cross multiply
    312.93x = 469.62 × 231.53
  4. Step 4: Simplify right side
    312.93x = 108,728.77
  5. Step 5: Solve for x
    x = 108,728.77/312.93
  6. Step 6: Final answer
    x = 347.45

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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.