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Finding the Fourth Proportional to 452.16, 622.62 and 386.52

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Solution

The fourth proportional to 452.16, 622.62 and 386.52 is: 532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.16 : 622.62 = 386.52 : x
  2. Step 2: Convert to fraction form
    452.16/622.62 = 386.52/x
  3. Step 3: Cross multiply
    452.16x = 622.62 × 386.52
  4. Step 4: Simplify right side
    452.16x = 240,655.08
  5. Step 5: Solve for x
    x = 240,655.08/452.16
  6. Step 6: Final answer
    x = 532.23

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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.