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Finding the Fourth Proportional to 425.82, 587.54 and 278.67

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Solution

The fourth proportional to 425.82, 587.54 and 278.67 is: 384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.82 : 587.54 = 278.67 : x
  2. Step 2: Convert to fraction form
    425.82/587.54 = 278.67/x
  3. Step 3: Cross multiply
    425.82x = 587.54 × 278.67
  4. Step 4: Simplify right side
    425.82x = 163,729.77
  5. Step 5: Solve for x
    x = 163,729.77/425.82
  6. Step 6: Final answer
    x = 384.50

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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.