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Finding the Fourth Proportional to 547.86, 756.90 and 429.60

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Solution

The fourth proportional to 547.86, 756.90 and 429.60 is: 593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.86 : 756.90 = 429.60 : x
  2. Step 2: Convert to fraction form
    547.86/756.90 = 429.60/x
  3. Step 3: Cross multiply
    547.86x = 756.90 × 429.60
  4. Step 4: Simplify right side
    547.86x = 325,164.24
  5. Step 5: Solve for x
    x = 325,164.24/547.86
  6. Step 6: Final answer
    x = 593.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.