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Finding the Fourth Proportional to 369.16, 509.29 and 258.59

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Solution

The fourth proportional to 369.16, 509.29 and 258.59 is: 356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.16 : 509.29 = 258.59 : x
  2. Step 2: Convert to fraction form
    369.16/509.29 = 258.59/x
  3. Step 3: Cross multiply
    369.16x = 509.29 × 258.59
  4. Step 4: Simplify right side
    369.16x = 131,697.93
  5. Step 5: Solve for x
    x = 131,697.93/369.16
  6. Step 6: Final answer
    x = 356.75

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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.