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Finding the Fourth Proportional to 369.29, 509.09 and 259.00

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Solution

The fourth proportional to 369.29, 509.09 and 259.00 is: 357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.29 : 509.09 = 259.00 : x
  2. Step 2: Convert to fraction form
    369.29/509.09 = 259.00/x
  3. Step 3: Cross multiply
    369.29x = 509.09 × 259.00
  4. Step 4: Simplify right side
    369.29x = 131,851.74
  5. Step 5: Solve for x
    x = 131,851.74/369.29
  6. Step 6: Final answer
    x = 357.04

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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.