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Finding the Fourth Proportional to 543.32, 749.76 and 310.45

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Solution

The fourth proportional to 543.32, 749.76 and 310.45 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.32 : 749.76 = 310.45 : x
  2. Step 2: Convert to fraction form
    543.32/749.76 = 310.45/x
  3. Step 3: Cross multiply
    543.32x = 749.76 × 310.45
  4. Step 4: Simplify right side
    543.32x = 232,762.99
  5. Step 5: Solve for x
    x = 232,762.99/543.32
  6. Step 6: Final answer
    x = 428.41

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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.