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Finding the Fourth Proportional to 495.63, 739.71 and 440.14

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Solution

The fourth proportional to 495.63, 739.71 and 440.14 is: 656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.63 : 739.71 = 440.14 : x
  2. Step 2: Convert to fraction form
    495.63/739.71 = 440.14/x
  3. Step 3: Cross multiply
    495.63x = 739.71 × 440.14
  4. Step 4: Simplify right side
    495.63x = 325,574.86
  5. Step 5: Solve for x
    x = 325,574.86/495.63
  6. Step 6: Final answer
    x = 656.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.