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Finding the Fourth Proportional to 374.24, 561.36 and 258.32

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Solution

The fourth proportional to 374.24, 561.36 and 258.32 is: 387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.24 : 561.36 = 258.32 : x
  2. Step 2: Convert to fraction form
    374.24/561.36 = 258.32/x
  3. Step 3: Cross multiply
    374.24x = 561.36 × 258.32
  4. Step 4: Simplify right side
    374.24x = 145,010.52
  5. Step 5: Solve for x
    x = 145,010.52/374.24
  6. Step 6: Final answer
    x = 387.48

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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.