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Finding the Fourth Proportional to 466.08, 699.60 and 359.04

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Solution

The fourth proportional to 466.08, 699.60 and 359.04 is: 538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.08 : 699.60 = 359.04 : x
  2. Step 2: Convert to fraction form
    466.08/699.60 = 359.04/x
  3. Step 3: Cross multiply
    466.08x = 699.60 × 359.04
  4. Step 4: Simplify right side
    466.08x = 251,184.38
  5. Step 5: Solve for x
    x = 251,184.38/466.08
  6. Step 6: Final answer
    x = 538.93

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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.