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Finding the Fourth Proportional to 730.32, 1,008.05 and 450.60

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Solution

The fourth proportional to 730.32, 1,008.05 and 450.60 is: 621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.32 : 1,008.05 = 450.60 : x
  2. Step 2: Convert to fraction form
    730.32/1,008.05 = 450.60/x
  3. Step 3: Cross multiply
    730.32x = 1,008.05 × 450.60
  4. Step 4: Simplify right side
    730.32x = 454,225.08
  5. Step 5: Solve for x
    x = 454,225.08/730.32
  6. Step 6: Final answer
    x = 621.95

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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.