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Finding the Fourth Proportional to 285.26, 392.14 and 283.46

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Solution

The fourth proportional to 285.26, 392.14 and 283.46 is: 389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.26 : 392.14 = 283.46 : x
  2. Step 2: Convert to fraction form
    285.26/392.14 = 283.46/x
  3. Step 3: Cross multiply
    285.26x = 392.14 × 283.46
  4. Step 4: Simplify right side
    285.26x = 111,156.00
  5. Step 5: Solve for x
    x = 111,156.00/285.26
  6. Step 6: Final answer
    x = 389.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.