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Finding the Fourth Proportional to 469.84, 649.44 and 415.12

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Solution

The fourth proportional to 469.84, 649.44 and 415.12 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.84 : 649.44 = 415.12 : x
  2. Step 2: Convert to fraction form
    469.84/649.44 = 415.12/x
  3. Step 3: Cross multiply
    469.84x = 649.44 × 415.12
  4. Step 4: Simplify right side
    469.84x = 269,595.53
  5. Step 5: Solve for x
    x = 269,595.53/469.84
  6. Step 6: Final answer
    x = 573.80

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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.