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Finding the Fourth Proportional to 820.58, 1,230.62 and 358.24

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Solution

The fourth proportional to 820.58, 1,230.62 and 358.24 is: 537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.58 : 1,230.62 = 358.24 : x
  2. Step 2: Convert to fraction form
    820.58/1,230.62 = 358.24/x
  3. Step 3: Cross multiply
    820.58x = 1,230.62 × 358.24
  4. Step 4: Simplify right side
    820.58x = 440,857.31
  5. Step 5: Solve for x
    x = 440,857.31/820.58
  6. Step 6: Final answer
    x = 537.25

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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.