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Finding the Fourth Proportional to 387.70, 534.81 and 282.67

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Solution

The fourth proportional to 387.70, 534.81 and 282.67 is: 389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.70 : 534.81 = 282.67 : x
  2. Step 2: Convert to fraction form
    387.70/534.81 = 282.67/x
  3. Step 3: Cross multiply
    387.70x = 534.81 × 282.67
  4. Step 4: Simplify right side
    387.70x = 151,174.74
  5. Step 5: Solve for x
    x = 151,174.74/387.70
  6. Step 6: Final answer
    x = 389.93

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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.