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Finding the Fourth Proportional to 369.99, 510.59 and 222.64

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Solution

The fourth proportional to 369.99, 510.59 and 222.64 is: 307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.99 : 510.59 = 222.64 : x
  2. Step 2: Convert to fraction form
    369.99/510.59 = 222.64/x
  3. Step 3: Cross multiply
    369.99x = 510.59 × 222.64
  4. Step 4: Simplify right side
    369.99x = 113,677.04
  5. Step 5: Solve for x
    x = 113,677.04/369.99
  6. Step 6: Final answer
    x = 307.24

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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.