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Finding the Fourth Proportional to 922.25, 1,383.18 and 305.84

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Solution

The fourth proportional to 922.25, 1,383.18 and 305.84 is: 458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.25 : 1,383.18 = 305.84 : x
  2. Step 2: Convert to fraction form
    922.25/1,383.18 = 305.84/x
  3. Step 3: Cross multiply
    922.25x = 1,383.18 × 305.84
  4. Step 4: Simplify right side
    922.25x = 423,024.86
  5. Step 5: Solve for x
    x = 423,024.86/922.25
  6. Step 6: Final answer
    x = 458.69

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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.