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Finding the Fourth Proportional to 423.21, 583.81 and 298.67

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Solution

The fourth proportional to 423.21, 583.81 and 298.67 is: 412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.21 : 583.81 = 298.67 : x
  2. Step 2: Convert to fraction form
    423.21/583.81 = 298.67/x
  3. Step 3: Cross multiply
    423.21x = 583.81 × 298.67
  4. Step 4: Simplify right side
    423.21x = 174,366.15
  5. Step 5: Solve for x
    x = 174,366.15/423.21
  6. Step 6: Final answer
    x = 412.01

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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.