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Finding the Fourth Proportional to 530.73, 794.52 and 365.85

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Solution

The fourth proportional to 530.73, 794.52 and 365.85 is: 547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.73 : 794.52 = 365.85 : x
  2. Step 2: Convert to fraction form
    530.73/794.52 = 365.85/x
  3. Step 3: Cross multiply
    530.73x = 794.52 × 365.85
  4. Step 4: Simplify right side
    530.73x = 290,675.14
  5. Step 5: Solve for x
    x = 290,675.14/530.73
  6. Step 6: Final answer
    x = 547.69

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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.