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Finding the Fourth Proportional to 730.49, 1,094.58 and 319.19

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Solution

The fourth proportional to 730.49, 1,094.58 and 319.19 is: 478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.49 : 1,094.58 = 319.19 : x
  2. Step 2: Convert to fraction form
    730.49/1,094.58 = 319.19/x
  3. Step 3: Cross multiply
    730.49x = 1,094.58 × 319.19
  4. Step 4: Simplify right side
    730.49x = 349,373.52
  5. Step 5: Solve for x
    x = 349,373.52/730.49
  6. Step 6: Final answer
    x = 478.28

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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.