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Finding the Fourth Proportional to 730.10, 1,007.33 and 468.15

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Solution

The fourth proportional to 730.10, 1,007.33 and 468.15 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.10 : 1,007.33 = 468.15 : x
  2. Step 2: Convert to fraction form
    730.10/1,007.33 = 468.15/x
  3. Step 3: Cross multiply
    730.10x = 1,007.33 × 468.15
  4. Step 4: Simplify right side
    730.10x = 471,579.20
  5. Step 5: Solve for x
    x = 471,579.20/730.10
  6. Step 6: Final answer
    x = 645.91

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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.