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Finding the Fourth Proportional to 879.30, 1,317.65 and 385.25

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Solution

The fourth proportional to 879.30, 1,317.65 and 385.25 is: 577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.30 : 1,317.65 = 385.25 : x
  2. Step 2: Convert to fraction form
    879.30/1,317.65 = 385.25/x
  3. Step 3: Cross multiply
    879.30x = 1,317.65 × 385.25
  4. Step 4: Simplify right side
    879.30x = 507,624.66
  5. Step 5: Solve for x
    x = 507,624.66/879.30
  6. Step 6: Final answer
    x = 577.31

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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.