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Finding the Fourth Proportional to 495.09, 684.08 and 477.57

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Solution

The fourth proportional to 495.09, 684.08 and 477.57 is: 659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.09 : 684.08 = 477.57 : x
  2. Step 2: Convert to fraction form
    495.09/684.08 = 477.57/x
  3. Step 3: Cross multiply
    495.09x = 684.08 × 477.57
  4. Step 4: Simplify right side
    495.09x = 326,693.70
  5. Step 5: Solve for x
    x = 326,693.70/495.09
  6. Step 6: Final answer
    x = 659.87

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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.