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Finding the Fourth Proportional to 530.67, 795.42 and 205.77

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Solution

The fourth proportional to 530.67, 795.42 and 205.77 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.67 : 795.42 = 205.77 : x
  2. Step 2: Convert to fraction form
    530.67/795.42 = 205.77/x
  3. Step 3: Cross multiply
    530.67x = 795.42 × 205.77
  4. Step 4: Simplify right side
    530.67x = 163,673.57
  5. Step 5: Solve for x
    x = 163,673.57/530.67
  6. Step 6: Final answer
    x = 308.43

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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.