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Finding the Fourth Proportional to 576.01, 867.40 and 414.82

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Solution

The fourth proportional to 576.01, 867.40 and 414.82 is: 624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.01 : 867.40 = 414.82 : x
  2. Step 2: Convert to fraction form
    576.01/867.40 = 414.82/x
  3. Step 3: Cross multiply
    576.01x = 867.40 × 414.82
  4. Step 4: Simplify right side
    576.01x = 359,814.87
  5. Step 5: Solve for x
    x = 359,814.87/576.01
  6. Step 6: Final answer
    x = 624.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.