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Finding the Fourth Proportional to 645.32, 967.98 and 298.60

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Solution

The fourth proportional to 645.32, 967.98 and 298.60 is: 447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.32 : 967.98 = 298.60 : x
  2. Step 2: Convert to fraction form
    645.32/967.98 = 298.60/x
  3. Step 3: Cross multiply
    645.32x = 967.98 × 298.60
  4. Step 4: Simplify right side
    645.32x = 289,038.83
  5. Step 5: Solve for x
    x = 289,038.83/645.32
  6. Step 6: Final answer
    x = 447.90

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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.