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Finding the Fourth Proportional to 369.61, 510.16 and 259.11

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Solution

The fourth proportional to 369.61, 510.16 and 259.11 is: 357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.61 : 510.16 = 259.11 : x
  2. Step 2: Convert to fraction form
    369.61/510.16 = 259.11/x
  3. Step 3: Cross multiply
    369.61x = 510.16 × 259.11
  4. Step 4: Simplify right side
    369.61x = 132,187.56
  5. Step 5: Solve for x
    x = 132,187.56/369.61
  6. Step 6: Final answer
    x = 357.64

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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.