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Finding the Fourth Proportional to 419.04, 577.13 and 345.33

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Solution

The fourth proportional to 419.04, 577.13 and 345.33 is: 475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 577.13 = 345.33 : x
  2. Step 2: Convert to fraction form
    419.04/577.13 = 345.33/x
  3. Step 3: Cross multiply
    419.04x = 577.13 × 345.33
  4. Step 4: Simplify right side
    419.04x = 199,298.58
  5. Step 5: Solve for x
    x = 199,298.58/419.04
  6. Step 6: Final answer
    x = 475.61

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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.