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Finding the Fourth Proportional to 615.90, 924.24 and 327.54

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Solution

The fourth proportional to 615.90, 924.24 and 327.54 is: 491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.90 : 924.24 = 327.54 : x
  2. Step 2: Convert to fraction form
    615.90/924.24 = 327.54/x
  3. Step 3: Cross multiply
    615.90x = 924.24 × 327.54
  4. Step 4: Simplify right side
    615.90x = 302,725.57
  5. Step 5: Solve for x
    x = 302,725.57/615.90
  6. Step 6: Final answer
    x = 491.52

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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.