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Finding the Fourth Proportional to 650.69, 897.45 and 414.67

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Solution

The fourth proportional to 650.69, 897.45 and 414.67 is: 571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.69 : 897.45 = 414.67 : x
  2. Step 2: Convert to fraction form
    650.69/897.45 = 414.67/x
  3. Step 3: Cross multiply
    650.69x = 897.45 × 414.67
  4. Step 4: Simplify right side
    650.69x = 372,143.52
  5. Step 5: Solve for x
    x = 372,143.52/650.69
  6. Step 6: Final answer
    x = 571.93

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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.