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Finding the Fourth Proportional to 369.24, 509.64 and 258.60

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Solution

The fourth proportional to 369.24, 509.64 and 258.60 is: 356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.24 : 509.64 = 258.60 : x
  2. Step 2: Convert to fraction form
    369.24/509.64 = 258.60/x
  3. Step 3: Cross multiply
    369.24x = 509.64 × 258.60
  4. Step 4: Simplify right side
    369.24x = 131,792.90
  5. Step 5: Solve for x
    x = 131,792.90/369.24
  6. Step 6: Final answer
    x = 356.93

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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.