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Finding the Fourth Proportional to 313.02, 467.23 and 276.07

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Solution

The fourth proportional to 313.02, 467.23 and 276.07 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.02 : 467.23 = 276.07 : x
  2. Step 2: Convert to fraction form
    313.02/467.23 = 276.07/x
  3. Step 3: Cross multiply
    313.02x = 467.23 × 276.07
  4. Step 4: Simplify right side
    313.02x = 128,990.20
  5. Step 5: Solve for x
    x = 128,990.20/313.02
  6. Step 6: Final answer
    x = 412.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.