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Finding the Fourth Proportional to 495.77, 685.06 and 471.74

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Solution

The fourth proportional to 495.77, 685.06 and 471.74 is: 651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.77 : 685.06 = 471.74 : x
  2. Step 2: Convert to fraction form
    495.77/685.06 = 471.74/x
  3. Step 3: Cross multiply
    495.77x = 685.06 × 471.74
  4. Step 4: Simplify right side
    495.77x = 323,165.60
  5. Step 5: Solve for x
    x = 323,165.60/495.77
  6. Step 6: Final answer
    x = 651.85

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Why These Related Problems?

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