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Finding the Fourth Proportional to 730.42, 1,007.91 and 415.67

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Solution

The fourth proportional to 730.42, 1,007.91 and 415.67 is: 573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.42 : 1,007.91 = 415.67 : x
  2. Step 2: Convert to fraction form
    730.42/1,007.91 = 415.67/x
  3. Step 3: Cross multiply
    730.42x = 1,007.91 × 415.67
  4. Step 4: Simplify right side
    730.42x = 418,952.91
  5. Step 5: Solve for x
    x = 418,952.91/730.42
  6. Step 6: Final answer
    x = 573.58

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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.