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Finding the Fourth Proportional to 802.38, 1,202.16 and 368.64

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Solution

The fourth proportional to 802.38, 1,202.16 and 368.64 is: 552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.38 : 1,202.16 = 368.64 : x
  2. Step 2: Convert to fraction form
    802.38/1,202.16 = 368.64/x
  3. Step 3: Cross multiply
    802.38x = 1,202.16 × 368.64
  4. Step 4: Simplify right side
    802.38x = 443,164.26
  5. Step 5: Solve for x
    x = 443,164.26/802.38
  6. Step 6: Final answer
    x = 552.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.