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Finding the Fourth Proportional to 929.64, 1,394.48 and 382.36

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Solution

The fourth proportional to 929.64, 1,394.48 and 382.36 is: 573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.64 : 1,394.48 = 382.36 : x
  2. Step 2: Convert to fraction form
    929.64/1,394.48 = 382.36/x
  3. Step 3: Cross multiply
    929.64x = 1,394.48 × 382.36
  4. Step 4: Simplify right side
    929.64x = 533,193.37
  5. Step 5: Solve for x
    x = 533,193.37/929.64
  6. Step 6: Final answer
    x = 573.55

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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.