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Finding the Fourth Proportional to 530.58, 799.23 and 490.49

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Solution

The fourth proportional to 530.58, 799.23 and 490.49 is: 738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.58 : 799.23 = 490.49 : x
  2. Step 2: Convert to fraction form
    530.58/799.23 = 490.49/x
  3. Step 3: Cross multiply
    530.58x = 799.23 × 490.49
  4. Step 4: Simplify right side
    530.58x = 392,010.33
  5. Step 5: Solve for x
    x = 392,010.33/530.58
  6. Step 6: Final answer
    x = 738.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.