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Finding the Fourth Proportional to 650.50, 973.32 and 405.88

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Solution

The fourth proportional to 650.50, 973.32 and 405.88 is: 607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.50 : 973.32 = 405.88 : x
  2. Step 2: Convert to fraction form
    650.50/973.32 = 405.88/x
  3. Step 3: Cross multiply
    650.50x = 973.32 × 405.88
  4. Step 4: Simplify right side
    650.50x = 395,051.12
  5. Step 5: Solve for x
    x = 395,051.12/650.50
  6. Step 6: Final answer
    x = 607.30

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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.