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Finding the Fourth Proportional to 650.60, 973.98 and 407.40

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Solution

The fourth proportional to 650.60, 973.98 and 407.40 is: 609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.60 : 973.98 = 407.40 : x
  2. Step 2: Convert to fraction form
    650.60/973.98 = 407.40/x
  3. Step 3: Cross multiply
    650.60x = 973.98 × 407.40
  4. Step 4: Simplify right side
    650.60x = 396,799.45
  5. Step 5: Solve for x
    x = 396,799.45/650.60
  6. Step 6: Final answer
    x = 609.90

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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.