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Finding the Fourth Proportional to 730.01, 1,007.44 and 415.24

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Solution

The fourth proportional to 730.01, 1,007.44 and 415.24 is: 573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.01 : 1,007.44 = 415.24 : x
  2. Step 2: Convert to fraction form
    730.01/1,007.44 = 415.24/x
  3. Step 3: Cross multiply
    730.01x = 1,007.44 × 415.24
  4. Step 4: Simplify right side
    730.01x = 418,325.83
  5. Step 5: Solve for x
    x = 418,325.83/730.01
  6. Step 6: Final answer
    x = 573.04

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1.5x scale

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.