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Finding the Fourth Proportional to 730.36, 1,007.58 and 468.28

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Solution

The fourth proportional to 730.36, 1,007.58 and 468.28 is: 646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.36 : 1,007.58 = 468.28 : x
  2. Step 2: Convert to fraction form
    730.36/1,007.58 = 468.28/x
  3. Step 3: Cross multiply
    730.36x = 1,007.58 × 468.28
  4. Step 4: Simplify right side
    730.36x = 471,829.56
  5. Step 5: Solve for x
    x = 471,829.56/730.36
  6. Step 6: Final answer
    x = 646.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.