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Finding the Fourth Proportional to 730.23, 1,007.83 and 415.50

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Solution

The fourth proportional to 730.23, 1,007.83 and 415.50 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.23 : 1,007.83 = 415.50 : x
  2. Step 2: Convert to fraction form
    730.23/1,007.83 = 415.50/x
  3. Step 3: Cross multiply
    730.23x = 1,007.83 × 415.50
  4. Step 4: Simplify right side
    730.23x = 418,750.11
  5. Step 5: Solve for x
    x = 418,750.11/730.23
  6. Step 6: Final answer
    x = 573.45

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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.