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Finding the Fourth Proportional to 313.65, 433.04 and 282.47

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Solution

The fourth proportional to 313.65, 433.04 and 282.47 is: 389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.65 : 433.04 = 282.47 : x
  2. Step 2: Convert to fraction form
    313.65/433.04 = 282.47/x
  3. Step 3: Cross multiply
    313.65x = 433.04 × 282.47
  4. Step 4: Simplify right side
    313.65x = 122,317.23
  5. Step 5: Solve for x
    x = 122,317.23/313.65
  6. Step 6: Final answer
    x = 389.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.