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Finding the Fourth Proportional to 530.80, 796.08 and 146.08

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Solution

The fourth proportional to 530.80, 796.08 and 146.08 is: 219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.80 : 796.08 = 146.08 : x
  2. Step 2: Convert to fraction form
    530.80/796.08 = 146.08/x
  3. Step 3: Cross multiply
    530.80x = 796.08 × 146.08
  4. Step 4: Simplify right side
    530.80x = 116,291.37
  5. Step 5: Solve for x
    x = 116,291.37/530.80
  6. Step 6: Final answer
    x = 219.09

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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.