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Finding the Fourth Proportional to 529.69, 794.43 and 205.06

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Solution

The fourth proportional to 529.69, 794.43 and 205.06 is: 307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.69 : 794.43 = 205.06 : x
  2. Step 2: Convert to fraction form
    529.69/794.43 = 205.06/x
  3. Step 3: Cross multiply
    529.69x = 794.43 × 205.06
  4. Step 4: Simplify right side
    529.69x = 162,905.82
  5. Step 5: Solve for x
    x = 162,905.82/529.69
  6. Step 6: Final answer
    x = 307.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.