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Finding the Fourth Proportional to 730.18, 1,095.28 and 407.60

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Solution

The fourth proportional to 730.18, 1,095.28 and 407.60 is: 611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.18 : 1,095.28 = 407.60 : x
  2. Step 2: Convert to fraction form
    730.18/1,095.28 = 407.60/x
  3. Step 3: Cross multiply
    730.18x = 1,095.28 × 407.60
  4. Step 4: Simplify right side
    730.18x = 446,436.13
  5. Step 5: Solve for x
    x = 446,436.13/730.18
  6. Step 6: Final answer
    x = 611.41

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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.