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Finding the Fourth Proportional to 730.07, 1,095.10 and 313.54

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Solution

The fourth proportional to 730.07, 1,095.10 and 313.54 is: 470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.07 : 1,095.10 = 313.54 : x
  2. Step 2: Convert to fraction form
    730.07/1,095.10 = 313.54/x
  3. Step 3: Cross multiply
    730.07x = 1,095.10 × 313.54
  4. Step 4: Simplify right side
    730.07x = 343,352.18
  5. Step 5: Solve for x
    x = 343,352.18/730.07
  6. Step 6: Final answer
    x = 470.30

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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.