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Finding the Fourth Proportional to 529.72, 731.01 and 305.65

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Solution

The fourth proportional to 529.72, 731.01 and 305.65 is: 421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.72 : 731.01 = 305.65 : x
  2. Step 2: Convert to fraction form
    529.72/731.01 = 305.65/x
  3. Step 3: Cross multiply
    529.72x = 731.01 × 305.65
  4. Step 4: Simplify right side
    529.72x = 223,429.55
  5. Step 5: Solve for x
    x = 223,429.55/529.72
  6. Step 6: Final answer
    x = 421.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.