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Finding the Fourth Proportional to 944.96, 1,416.23 and 397.00

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Solution

The fourth proportional to 944.96, 1,416.23 and 397.00 is: 594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.96 : 1,416.23 = 397.00 : x
  2. Step 2: Convert to fraction form
    944.96/1,416.23 = 397.00/x
  3. Step 3: Cross multiply
    944.96x = 1,416.23 × 397.00
  4. Step 4: Simplify right side
    944.96x = 562,234.24
  5. Step 5: Solve for x
    x = 562,234.24/944.96
  6. Step 6: Final answer
    x = 594.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.