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Finding the Fourth Proportional to 922.61, 1,383.57 and 337.42

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Solution

The fourth proportional to 922.61, 1,383.57 and 337.42 is: 506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.61 : 1,383.57 = 337.42 : x
  2. Step 2: Convert to fraction form
    922.61/1,383.57 = 337.42/x
  3. Step 3: Cross multiply
    922.61x = 1,383.57 × 337.42
  4. Step 4: Simplify right side
    922.61x = 466,844.19
  5. Step 5: Solve for x
    x = 466,844.19/922.61
  6. Step 6: Final answer
    x = 506.00

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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.