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Finding the Fourth Proportional to 314.88, 434.37 and 278.13

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Solution

The fourth proportional to 314.88, 434.37 and 278.13 is: 383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 434.37 = 278.13 : x
  2. Step 2: Convert to fraction form
    314.88/434.37 = 278.13/x
  3. Step 3: Cross multiply
    314.88x = 434.37 × 278.13
  4. Step 4: Simplify right side
    314.88x = 120,811.33
  5. Step 5: Solve for x
    x = 120,811.33/314.88
  6. Step 6: Final answer
    x = 383.67

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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.