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Finding the Fourth Proportional to 944.61, 1,416.81 and 295.35

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Solution

The fourth proportional to 944.61, 1,416.81 and 295.35 is: 442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.61 : 1,416.81 = 295.35 : x
  2. Step 2: Convert to fraction form
    944.61/1,416.81 = 295.35/x
  3. Step 3: Cross multiply
    944.61x = 1,416.81 × 295.35
  4. Step 4: Simplify right side
    944.61x = 418,448.97
  5. Step 5: Solve for x
    x = 418,448.97/944.61
  6. Step 6: Final answer
    x = 442.99

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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.