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Finding the Fourth Proportional to 540.98, 746.31 and 429.81

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Solution

The fourth proportional to 540.98, 746.31 and 429.81 is: 592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.98 : 746.31 = 429.81 : x
  2. Step 2: Convert to fraction form
    540.98/746.31 = 429.81/x
  3. Step 3: Cross multiply
    540.98x = 746.31 × 429.81
  4. Step 4: Simplify right side
    540.98x = 320,770.31
  5. Step 5: Solve for x
    x = 320,770.31/540.98
  6. Step 6: Final answer
    x = 592.94

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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.