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Finding the Fourth Proportional to 598.92, 897.57 and 416.67

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Solution

The fourth proportional to 598.92, 897.57 and 416.67 is: 624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.92 : 897.57 = 416.67 : x
  2. Step 2: Convert to fraction form
    598.92/897.57 = 416.67/x
  3. Step 3: Cross multiply
    598.92x = 897.57 × 416.67
  4. Step 4: Simplify right side
    598.92x = 373,990.49
  5. Step 5: Solve for x
    x = 373,990.49/598.92
  6. Step 6: Final answer
    x = 624.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.