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Finding the Fourth Proportional to 498.07, 690.48 and 471.74

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Solution

The fourth proportional to 498.07, 690.48 and 471.74 is: 653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.07 : 690.48 = 471.74 : x
  2. Step 2: Convert to fraction form
    498.07/690.48 = 471.74/x
  3. Step 3: Cross multiply
    498.07x = 690.48 × 471.74
  4. Step 4: Simplify right side
    498.07x = 325,723.58
  5. Step 5: Solve for x
    x = 325,723.58/498.07
  6. Step 6: Final answer
    x = 653.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.