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Finding the Fourth Proportional to 440.94, 659.47 and 392.51

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Solution

The fourth proportional to 440.94, 659.47 and 392.51 is: 587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.94 : 659.47 = 392.51 : x
  2. Step 2: Convert to fraction form
    440.94/659.47 = 392.51/x
  3. Step 3: Cross multiply
    440.94x = 659.47 × 392.51
  4. Step 4: Simplify right side
    440.94x = 258,846.61
  5. Step 5: Solve for x
    x = 258,846.61/440.94
  6. Step 6: Final answer
    x = 587.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.