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Finding the Fourth Proportional to 437.00, 656.10 and 299.70

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Solution

The fourth proportional to 437.00, 656.10 and 299.70 is: 449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.00 : 656.10 = 299.70 : x
  2. Step 2: Convert to fraction form
    437.00/656.10 = 299.70/x
  3. Step 3: Cross multiply
    437.00x = 656.10 × 299.70
  4. Step 4: Simplify right side
    437.00x = 196,633.17
  5. Step 5: Solve for x
    x = 196,633.17/437.00
  6. Step 6: Final answer
    x = 449.97

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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.