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Finding the Fourth Proportional to 530.20, 794.10 and 273.40

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Solution

The fourth proportional to 530.20, 794.10 and 273.40 is: 409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.20 : 794.10 = 273.40 : x
  2. Step 2: Convert to fraction form
    530.20/794.10 = 273.40/x
  3. Step 3: Cross multiply
    530.20x = 794.10 × 273.40
  4. Step 4: Simplify right side
    530.20x = 217,106.94
  5. Step 5: Solve for x
    x = 217,106.94/530.20
  6. Step 6: Final answer
    x = 409.48

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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.