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Finding the Fourth Proportional to 530.96, 796.43 and 206.35

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Solution

The fourth proportional to 530.96, 796.43 and 206.35 is: 309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 796.43 = 206.35 : x
  2. Step 2: Convert to fraction form
    530.96/796.43 = 206.35/x
  3. Step 3: Cross multiply
    530.96x = 796.43 × 206.35
  4. Step 4: Simplify right side
    530.96x = 164,341.86
  5. Step 5: Solve for x
    x = 164,341.86/530.96
  6. Step 6: Final answer
    x = 309.52

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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.