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Finding the Fourth Proportional to 539.34, 744.53 and 340.35

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Solution

The fourth proportional to 539.34, 744.53 and 340.35 is: 469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.34 : 744.53 = 340.35 : x
  2. Step 2: Convert to fraction form
    539.34/744.53 = 340.35/x
  3. Step 3: Cross multiply
    539.34x = 744.53 × 340.35
  4. Step 4: Simplify right side
    539.34x = 253,400.79
  5. Step 5: Solve for x
    x = 253,400.79/539.34
  6. Step 6: Final answer
    x = 469.83

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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.