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Finding the Fourth Proportional to 368.96, 509.46 and 258.80

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Solution

The fourth proportional to 368.96, 509.46 and 258.80 is: 357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.96 : 509.46 = 258.80 : x
  2. Step 2: Convert to fraction form
    368.96/509.46 = 258.80/x
  3. Step 3: Cross multiply
    368.96x = 509.46 × 258.80
  4. Step 4: Simplify right side
    368.96x = 131,848.25
  5. Step 5: Solve for x
    x = 131,848.25/368.96
  6. Step 6: Final answer
    x = 357.35

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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.