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Finding the Fourth Proportional to 944.49, 1,416.27 and 328.23

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Solution

The fourth proportional to 944.49, 1,416.27 and 328.23 is: 492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.49 : 1,416.27 = 328.23 : x
  2. Step 2: Convert to fraction form
    944.49/1,416.27 = 328.23/x
  3. Step 3: Cross multiply
    944.49x = 1,416.27 × 328.23
  4. Step 4: Simplify right side
    944.49x = 464,862.30
  5. Step 5: Solve for x
    x = 464,862.30/944.49
  6. Step 6: Final answer
    x = 492.18

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Double scale
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1.5x scale

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.