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Finding the Fourth Proportional to 374.20, 560.70 and 258.25

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Solution

The fourth proportional to 374.20, 560.70 and 258.25 is: 386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.20 : 560.70 = 258.25 : x
  2. Step 2: Convert to fraction form
    374.20/560.70 = 258.25/x
  3. Step 3: Cross multiply
    374.20x = 560.70 × 258.25
  4. Step 4: Simplify right side
    374.20x = 144,800.78
  5. Step 5: Solve for x
    x = 144,800.78/374.20
  6. Step 6: Final answer
    x = 386.96

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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.