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Finding the Fourth Proportional to 374.83, 517.05 and 258.19

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Solution

The fourth proportional to 374.83, 517.05 and 258.19 is: 356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.83 : 517.05 = 258.19 : x
  2. Step 2: Convert to fraction form
    374.83/517.05 = 258.19/x
  3. Step 3: Cross multiply
    374.83x = 517.05 × 258.19
  4. Step 4: Simplify right side
    374.83x = 133,495.85
  5. Step 5: Solve for x
    x = 133,495.85/374.83
  6. Step 6: Final answer
    x = 356.15

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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.