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Finding the Fourth Proportional to 369.84, 555.30 and 346.08

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Solution

The fourth proportional to 369.84, 555.30 and 346.08 is: 519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 555.30 = 346.08 : x
  2. Step 2: Convert to fraction form
    369.84/555.30 = 346.08/x
  3. Step 3: Cross multiply
    369.84x = 555.30 × 346.08
  4. Step 4: Simplify right side
    369.84x = 192,178.22
  5. Step 5: Solve for x
    x = 192,178.22/369.84
  6. Step 6: Final answer
    x = 519.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.