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Finding the Fourth Proportional to 944.74, 1,416.64 and 328.48

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Solution

The fourth proportional to 944.74, 1,416.64 and 328.48 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.74 : 1,416.64 = 328.48 : x
  2. Step 2: Convert to fraction form
    944.74/1,416.64 = 328.48/x
  3. Step 3: Cross multiply
    944.74x = 1,416.64 × 328.48
  4. Step 4: Simplify right side
    944.74x = 465,337.91
  5. Step 5: Solve for x
    x = 465,337.91/944.74
  6. Step 6: Final answer
    x = 492.56

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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.