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Finding the Fourth Proportional to 504.84, 696.97 and 330.49

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Solution

The fourth proportional to 504.84, 696.97 and 330.49 is: 456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.84 : 696.97 = 330.49 : x
  2. Step 2: Convert to fraction form
    504.84/696.97 = 330.49/x
  3. Step 3: Cross multiply
    504.84x = 696.97 × 330.49
  4. Step 4: Simplify right side
    504.84x = 230,338.13
  5. Step 5: Solve for x
    x = 230,338.13/504.84
  6. Step 6: Final answer
    x = 456.26

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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.