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Finding the Fourth Proportional to 530.99, 796.26 and 287.23

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Solution

The fourth proportional to 530.99, 796.26 and 287.23 is: 430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.99 : 796.26 = 287.23 : x
  2. Step 2: Convert to fraction form
    530.99/796.26 = 287.23/x
  3. Step 3: Cross multiply
    530.99x = 796.26 × 287.23
  4. Step 4: Simplify right side
    530.99x = 228,709.76
  5. Step 5: Solve for x
    x = 228,709.76/530.99
  6. Step 6: Final answer
    x = 430.72

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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.