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Finding the Fourth Proportional to 475.35, 656.15 and 419.46

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Solution

The fourth proportional to 475.35, 656.15 and 419.46 is: 579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.35 : 656.15 = 419.46 : x
  2. Step 2: Convert to fraction form
    475.35/656.15 = 419.46/x
  3. Step 3: Cross multiply
    475.35x = 656.15 × 419.46
  4. Step 4: Simplify right side
    475.35x = 275,226.58
  5. Step 5: Solve for x
    x = 275,226.58/475.35
  6. Step 6: Final answer
    x = 579.00

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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.