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Finding the Fourth Proportional to 576, 794.64 and 354.88

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Solution

The fourth proportional to 576, 794.64 and 354.88 is: 489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 794.64 = 354.88 : x
  2. Step 2: Convert to fraction form
    576/794.64 = 354.88/x
  3. Step 3: Cross multiply
    576x = 794.64 × 354.88
  4. Step 4: Simplify right side
    576x = 282,001.84
  5. Step 5: Solve for x
    x = 282,001.84/576
  6. Step 6: Final answer
    x = 489.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.