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Finding the Fourth Proportional to 498.86, 744.62 and 440.47

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Solution

The fourth proportional to 498.86, 744.62 and 440.47 is: 657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.86 : 744.62 = 440.47 : x
  2. Step 2: Convert to fraction form
    498.86/744.62 = 440.47/x
  3. Step 3: Cross multiply
    498.86x = 744.62 × 440.47
  4. Step 4: Simplify right side
    498.86x = 327,981.50
  5. Step 5: Solve for x
    x = 327,981.50/498.86
  6. Step 6: Final answer
    x = 657.46

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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.