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Finding the Fourth Proportional to 539.36, 743.81 and 429.20

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Solution

The fourth proportional to 539.36, 743.81 and 429.20 is: 591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.36 : 743.81 = 429.20 : x
  2. Step 2: Convert to fraction form
    539.36/743.81 = 429.20/x
  3. Step 3: Cross multiply
    539.36x = 743.81 × 429.20
  4. Step 4: Simplify right side
    539.36x = 319,237.39
  5. Step 5: Solve for x
    x = 319,237.39/539.36
  6. Step 6: Final answer
    x = 591.89

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1.5x scale

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.