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Finding the Fourth Proportional to 543.72, 750.12 and 357.31

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Solution

The fourth proportional to 543.72, 750.12 and 357.31 is: 492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.72 : 750.12 = 357.31 : x
  2. Step 2: Convert to fraction form
    543.72/750.12 = 357.31/x
  3. Step 3: Cross multiply
    543.72x = 750.12 × 357.31
  4. Step 4: Simplify right side
    543.72x = 268,021.63
  5. Step 5: Solve for x
    x = 268,021.63/543.72
  6. Step 6: Final answer
    x = 492.95

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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.