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Finding the Fourth Proportional to 944.40, 1,416.59 and 295.14

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Solution

The fourth proportional to 944.40, 1,416.59 and 295.14 is: 442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.40 : 1,416.59 = 295.14 : x
  2. Step 2: Convert to fraction form
    944.40/1,416.59 = 295.14/x
  3. Step 3: Cross multiply
    944.40x = 1,416.59 × 295.14
  4. Step 4: Simplify right side
    944.40x = 418,086.03
  5. Step 5: Solve for x
    x = 418,086.03/944.40
  6. Step 6: Final answer
    x = 442.70

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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.