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Finding the Fourth Proportional to 419.60, 578.64 and 253.84

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Solution

The fourth proportional to 419.60, 578.64 and 253.84 is: 350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.60 : 578.64 = 253.84 : x
  2. Step 2: Convert to fraction form
    419.60/578.64 = 253.84/x
  3. Step 3: Cross multiply
    419.60x = 578.64 × 253.84
  4. Step 4: Simplify right side
    419.60x = 146,881.98
  5. Step 5: Solve for x
    x = 146,881.98/419.60
  6. Step 6: Final answer
    x = 350.05

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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.