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Finding the Fourth Proportional to 579.90, 870.09 and 374.34

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Solution

The fourth proportional to 579.90, 870.09 and 374.34 is: 561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.90 : 870.09 = 374.34 : x
  2. Step 2: Convert to fraction form
    579.90/870.09 = 374.34/x
  3. Step 3: Cross multiply
    579.90x = 870.09 × 374.34
  4. Step 4: Simplify right side
    579.90x = 325,709.49
  5. Step 5: Solve for x
    x = 325,709.49/579.90
  6. Step 6: Final answer
    x = 561.66

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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.