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Finding the Fourth Proportional to 730.50, 1,095.17 and 365.09

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Solution

The fourth proportional to 730.50, 1,095.17 and 365.09 is: 547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.50 : 1,095.17 = 365.09 : x
  2. Step 2: Convert to fraction form
    730.50/1,095.17 = 365.09/x
  3. Step 3: Cross multiply
    730.50x = 1,095.17 × 365.09
  4. Step 4: Simplify right side
    730.50x = 399,835.62
  5. Step 5: Solve for x
    x = 399,835.62/730.50
  6. Step 6: Final answer
    x = 547.35

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1.5x scale

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.