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Finding the Fourth Proportional to 944.20, 1,416.30 and 294.93

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Solution

The fourth proportional to 944.20, 1,416.30 and 294.93 is: 442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.20 : 1,416.30 = 294.93 : x
  2. Step 2: Convert to fraction form
    944.20/1,416.30 = 294.93/x
  3. Step 3: Cross multiply
    944.20x = 1,416.30 × 294.93
  4. Step 4: Simplify right side
    944.20x = 417,709.36
  5. Step 5: Solve for x
    x = 417,709.36/944.20
  6. Step 6: Final answer
    x = 442.40

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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.