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Finding the Fourth Proportional to 350.10, 524.84 and 326.40

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Solution

The fourth proportional to 350.10, 524.84 and 326.40 is: 489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.10 : 524.84 = 326.40 : x
  2. Step 2: Convert to fraction form
    350.10/524.84 = 326.40/x
  3. Step 3: Cross multiply
    350.10x = 524.84 × 326.40
  4. Step 4: Simplify right side
    350.10x = 171,307.78
  5. Step 5: Solve for x
    x = 171,307.78/350.10
  6. Step 6: Final answer
    x = 489.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.