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Finding the Fourth Proportional to 730.24, 1,094.65 and 242.96

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Solution

The fourth proportional to 730.24, 1,094.65 and 242.96 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.24 : 1,094.65 = 242.96 : x
  2. Step 2: Convert to fraction form
    730.24/1,094.65 = 242.96/x
  3. Step 3: Cross multiply
    730.24x = 1,094.65 × 242.96
  4. Step 4: Simplify right side
    730.24x = 265,950.08
  5. Step 5: Solve for x
    x = 265,950.08/730.24
  6. Step 6: Final answer
    x = 364.20

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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.