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Finding the Fourth Proportional to 650.21, 973.85 and 456.08

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Solution

The fourth proportional to 650.21, 973.85 and 456.08 is: 683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.21 : 973.85 = 456.08 : x
  2. Step 2: Convert to fraction form
    650.21/973.85 = 456.08/x
  3. Step 3: Cross multiply
    650.21x = 973.85 × 456.08
  4. Step 4: Simplify right side
    650.21x = 444,157.08
  5. Step 5: Solve for x
    x = 444,157.08/650.21
  6. Step 6: Final answer
    x = 683.10

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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.