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Finding the Fourth Proportional to 369.42, 509.58 and 258.69

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Solution

The fourth proportional to 369.42, 509.58 and 258.69 is: 356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.42 : 509.58 = 258.69 : x
  2. Step 2: Convert to fraction form
    369.42/509.58 = 258.69/x
  3. Step 3: Cross multiply
    369.42x = 509.58 × 258.69
  4. Step 4: Simplify right side
    369.42x = 131,823.25
  5. Step 5: Solve for x
    x = 131,823.25/369.42
  6. Step 6: Final answer
    x = 356.84

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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.