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Finding the Fourth Proportional to 530.80, 732.20 and 355.84

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Solution

The fourth proportional to 530.80, 732.20 and 355.84 is: 490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.80 : 732.20 = 355.84 : x
  2. Step 2: Convert to fraction form
    530.80/732.20 = 355.84/x
  3. Step 3: Cross multiply
    530.80x = 732.20 × 355.84
  4. Step 4: Simplify right side
    530.80x = 260,546.05
  5. Step 5: Solve for x
    x = 260,546.05/530.80
  6. Step 6: Final answer
    x = 490.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.