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Finding the Fourth Proportional to 530.99, 796.57 and 165.74

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Solution

The fourth proportional to 530.99, 796.57 and 165.74 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.99 : 796.57 = 165.74 : x
  2. Step 2: Convert to fraction form
    530.99/796.57 = 165.74/x
  3. Step 3: Cross multiply
    530.99x = 796.57 × 165.74
  4. Step 4: Simplify right side
    530.99x = 132,019.53
  5. Step 5: Solve for x
    x = 132,019.53/530.99
  6. Step 6: Final answer
    x = 248.63

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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.