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Finding the Fourth Proportional to 419.64, 579.18 and 245.10

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Solution

The fourth proportional to 419.64, 579.18 and 245.10 is: 338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 579.18 = 245.10 : x
  2. Step 2: Convert to fraction form
    419.64/579.18 = 245.10/x
  3. Step 3: Cross multiply
    419.64x = 579.18 × 245.10
  4. Step 4: Simplify right side
    419.64x = 141,957.02
  5. Step 5: Solve for x
    x = 141,957.02/419.64
  6. Step 6: Final answer
    x = 338.28

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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.