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Finding the Fourth Proportional to 543.23, 749.16 and 464.84

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Solution

The fourth proportional to 543.23, 749.16 and 464.84 is: 641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.23 : 749.16 = 464.84 : x
  2. Step 2: Convert to fraction form
    543.23/749.16 = 464.84/x
  3. Step 3: Cross multiply
    543.23x = 749.16 × 464.84
  4. Step 4: Simplify right side
    543.23x = 348,235.79
  5. Step 5: Solve for x
    x = 348,235.79/543.23
  6. Step 6: Final answer
    x = 641.05

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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.