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Finding the Fourth Proportional to 369.97, 510.00 and 314.69

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Solution

The fourth proportional to 369.97, 510.00 and 314.69 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.97 : 510.00 = 314.69 : x
  2. Step 2: Convert to fraction form
    369.97/510.00 = 314.69/x
  3. Step 3: Cross multiply
    369.97x = 510.00 × 314.69
  4. Step 4: Simplify right side
    369.97x = 160,488.17
  5. Step 5: Solve for x
    x = 160,488.17/369.97
  6. Step 6: Final answer
    x = 433.79

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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.