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Finding the Fourth Proportional to 473.04, 650.90 and 362.48

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Solution

The fourth proportional to 473.04, 650.90 and 362.48 is: 498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.04 : 650.90 = 362.48 : x
  2. Step 2: Convert to fraction form
    473.04/650.90 = 362.48/x
  3. Step 3: Cross multiply
    473.04x = 650.90 × 362.48
  4. Step 4: Simplify right side
    473.04x = 235,935.88
  5. Step 5: Solve for x
    x = 235,935.88/473.04
  6. Step 6: Final answer
    x = 498.77

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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.