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Finding the Fourth Proportional to 587.67, 811.05 and 339.05

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Solution

The fourth proportional to 587.67, 811.05 and 339.05 is: 467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.67 : 811.05 = 339.05 : x
  2. Step 2: Convert to fraction form
    587.67/811.05 = 339.05/x
  3. Step 3: Cross multiply
    587.67x = 811.05 × 339.05
  4. Step 4: Simplify right side
    587.67x = 274,987.26
  5. Step 5: Solve for x
    x = 274,987.26/587.67
  6. Step 6: Final answer
    x = 467.93

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