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Finding the Fourth Proportional to 473.08, 649.24 and 460.84

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Solution

The fourth proportional to 473.08, 649.24 and 460.84 is: 632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.08 : 649.24 = 460.84 : x
  2. Step 2: Convert to fraction form
    473.08/649.24 = 460.84/x
  3. Step 3: Cross multiply
    473.08x = 649.24 × 460.84
  4. Step 4: Simplify right side
    473.08x = 299,195.76
  5. Step 5: Solve for x
    x = 299,195.76/473.08
  6. Step 6: Final answer
    x = 632.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.