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Finding the Fourth Proportional to 499.64, 744.18 and 473.63

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Solution

The fourth proportional to 499.64, 744.18 and 473.63 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.64 : 744.18 = 473.63 : x
  2. Step 2: Convert to fraction form
    499.64/744.18 = 473.63/x
  3. Step 3: Cross multiply
    499.64x = 744.18 × 473.63
  4. Step 4: Simplify right side
    499.64x = 352,462.25
  5. Step 5: Solve for x
    x = 352,462.25/499.64
  6. Step 6: Final answer
    x = 705.44

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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.