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Finding the Fourth Proportional to 547.43, 754.58 and 407.32

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Solution

The fourth proportional to 547.43, 754.58 and 407.32 is: 561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.43 : 754.58 = 407.32 : x
  2. Step 2: Convert to fraction form
    547.43/754.58 = 407.32/x
  3. Step 3: Cross multiply
    547.43x = 754.58 × 407.32
  4. Step 4: Simplify right side
    547.43x = 307,354.66
  5. Step 5: Solve for x
    x = 307,354.66/547.43
  6. Step 6: Final answer
    x = 561.46

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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.