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Finding the Fourth Proportional to 543.04, 748.92 and 368.62

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Solution

The fourth proportional to 543.04, 748.92 and 368.62 is: 508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.04 : 748.92 = 368.62 : x
  2. Step 2: Convert to fraction form
    543.04/748.92 = 368.62/x
  3. Step 3: Cross multiply
    543.04x = 748.92 × 368.62
  4. Step 4: Simplify right side
    543.04x = 276,066.89
  5. Step 5: Solve for x
    x = 276,066.89/543.04
  6. Step 6: Final answer
    x = 508.37

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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.