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Finding the Fourth Proportional to 467.00, 699.89 and 358.25

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Solution

The fourth proportional to 467.00, 699.89 and 358.25 is: 536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.00 : 699.89 = 358.25 : x
  2. Step 2: Convert to fraction form
    467.00/699.89 = 358.25/x
  3. Step 3: Cross multiply
    467.00x = 699.89 × 358.25
  4. Step 4: Simplify right side
    467.00x = 250,735.55
  5. Step 5: Solve for x
    x = 250,735.55/467.00
  6. Step 6: Final answer
    x = 536.91

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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.