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Finding the Fourth Proportional to 425.37, 586.86 and 278.09

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Solution

The fourth proportional to 425.37, 586.86 and 278.09 is: 383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.37 : 586.86 = 278.09 : x
  2. Step 2: Convert to fraction form
    425.37/586.86 = 278.09/x
  3. Step 3: Cross multiply
    425.37x = 586.86 × 278.09
  4. Step 4: Simplify right side
    425.37x = 163,197.69
  5. Step 5: Solve for x
    x = 163,197.69/425.37
  6. Step 6: Final answer
    x = 383.66

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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.