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Finding the Fourth Proportional to 350.08, 524.36 and 319.52

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Solution

The fourth proportional to 350.08, 524.36 and 319.52 is: 478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.08 : 524.36 = 319.52 : x
  2. Step 2: Convert to fraction form
    350.08/524.36 = 319.52/x
  3. Step 3: Cross multiply
    350.08x = 524.36 × 319.52
  4. Step 4: Simplify right side
    350.08x = 167,543.51
  5. Step 5: Solve for x
    x = 167,543.51/350.08
  6. Step 6: Final answer
    x = 478.59

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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.