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Finding the Fourth Proportional to 498.83, 744.02 and 464.81

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Solution

The fourth proportional to 498.83, 744.02 and 464.81 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.83 : 744.02 = 464.81 : x
  2. Step 2: Convert to fraction form
    498.83/744.02 = 464.81/x
  3. Step 3: Cross multiply
    498.83x = 744.02 × 464.81
  4. Step 4: Simplify right side
    498.83x = 345,823.64
  5. Step 5: Solve for x
    x = 345,823.64/498.83
  6. Step 6: Final answer
    x = 693.28

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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.