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Finding the Fourth Proportional to 530.22, 795.81 and 382.13

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Solution

The fourth proportional to 530.22, 795.81 and 382.13 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.22 : 795.81 = 382.13 : x
  2. Step 2: Convert to fraction form
    530.22/795.81 = 382.13/x
  3. Step 3: Cross multiply
    530.22x = 795.81 × 382.13
  4. Step 4: Simplify right side
    530.22x = 304,100.33
  5. Step 5: Solve for x
    x = 304,100.33/530.22
  6. Step 6: Final answer
    x = 573.54

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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.