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Finding the Fourth Proportional to 595.68, 892.89 and 306.51

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Solution

The fourth proportional to 595.68, 892.89 and 306.51 is: 459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.68 : 892.89 = 306.51 : x
  2. Step 2: Convert to fraction form
    595.68/892.89 = 306.51/x
  3. Step 3: Cross multiply
    595.68x = 892.89 × 306.51
  4. Step 4: Simplify right side
    595.68x = 273,679.71
  5. Step 5: Solve for x
    x = 273,679.71/595.68
  6. Step 6: Final answer
    x = 459.44

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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.