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Finding the Fourth Proportional to 675.84, 932.66 and 365.34

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Solution

The fourth proportional to 675.84, 932.66 and 365.34 is: 504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 932.66 = 365.34 : x
  2. Step 2: Convert to fraction form
    675.84/932.66 = 365.34/x
  3. Step 3: Cross multiply
    675.84x = 932.66 × 365.34
  4. Step 4: Simplify right side
    675.84x = 340,743.10
  5. Step 5: Solve for x
    x = 340,743.10/675.84
  6. Step 6: Final answer
    x = 504.17

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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.