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Finding the Fourth Proportional to 530.59, 796.02 and 222.34

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Solution

The fourth proportional to 530.59, 796.02 and 222.34 is: 333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.59 : 796.02 = 222.34 : x
  2. Step 2: Convert to fraction form
    530.59/796.02 = 222.34/x
  3. Step 3: Cross multiply
    530.59x = 796.02 × 222.34
  4. Step 4: Simplify right side
    530.59x = 176,987.09
  5. Step 5: Solve for x
    x = 176,987.09/530.59
  6. Step 6: Final answer
    x = 333.57

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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.