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Finding the Fourth Proportional to 720.58, 994.41 and 425.84

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Solution

The fourth proportional to 720.58, 994.41 and 425.84 is: 587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.58 : 994.41 = 425.84 : x
  2. Step 2: Convert to fraction form
    720.58/994.41 = 425.84/x
  3. Step 3: Cross multiply
    720.58x = 994.41 × 425.84
  4. Step 4: Simplify right side
    720.58x = 423,460.44
  5. Step 5: Solve for x
    x = 423,460.44/720.58
  6. Step 6: Final answer
    x = 587.67

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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.