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Finding the Fourth Proportional to 473.60, 709.80 and 419.60

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Solution

The fourth proportional to 473.60, 709.80 and 419.60 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.60 : 709.80 = 419.60 : x
  2. Step 2: Convert to fraction form
    473.60/709.80 = 419.60/x
  3. Step 3: Cross multiply
    473.60x = 709.80 × 419.60
  4. Step 4: Simplify right side
    473.60x = 297,832.08
  5. Step 5: Solve for x
    x = 297,832.08/473.60
  6. Step 6: Final answer
    x = 628.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.