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Finding the Fourth Proportional to 369.95, 510.30 and 264.89

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Solution

The fourth proportional to 369.95, 510.30 and 264.89 is: 365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.95 : 510.30 = 264.89 : x
  2. Step 2: Convert to fraction form
    369.95/510.30 = 264.89/x
  3. Step 3: Cross multiply
    369.95x = 510.30 × 264.89
  4. Step 4: Simplify right side
    369.95x = 135,173.37
  5. Step 5: Solve for x
    x = 135,173.37/369.95
  6. Step 6: Final answer
    x = 365.38

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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.