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Finding the Fourth Proportional to 369.32, 509.36 and 258.75

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Solution

The fourth proportional to 369.32, 509.36 and 258.75 is: 356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.32 : 509.36 = 258.75 : x
  2. Step 2: Convert to fraction form
    369.32/509.36 = 258.75/x
  3. Step 3: Cross multiply
    369.32x = 509.36 × 258.75
  4. Step 4: Simplify right side
    369.32x = 131,795.61
  5. Step 5: Solve for x
    x = 131,795.61/369.32
  6. Step 6: Final answer
    x = 356.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.