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Finding the Fourth Proportional to 369.06, 510.53 and 347.53

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Solution

The fourth proportional to 369.06, 510.53 and 347.53 is: 480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.06 : 510.53 = 347.53 : x
  2. Step 2: Convert to fraction form
    369.06/510.53 = 347.53/x
  3. Step 3: Cross multiply
    369.06x = 510.53 × 347.53
  4. Step 4: Simplify right side
    369.06x = 177,422.69
  5. Step 5: Solve for x
    x = 177,422.69/369.06
  6. Step 6: Final answer
    x = 480.75

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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.