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Finding the Fourth Proportional to 944.34, 1,417.06 and 396.48

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Solution

The fourth proportional to 944.34, 1,417.06 and 396.48 is: 594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.34 : 1,417.06 = 396.48 : x
  2. Step 2: Convert to fraction form
    944.34/1,417.06 = 396.48/x
  3. Step 3: Cross multiply
    944.34x = 1,417.06 × 396.48
  4. Step 4: Simplify right side
    944.34x = 561,832.90
  5. Step 5: Solve for x
    x = 561,832.90/944.34
  6. Step 6: Final answer
    x = 594.95

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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.