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Finding the Fourth Proportional to 419.10, 577.62 and 336.06

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Solution

The fourth proportional to 419.10, 577.62 and 336.06 is: 463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 577.62 = 336.06 : x
  2. Step 2: Convert to fraction form
    419.10/577.62 = 336.06/x
  3. Step 3: Cross multiply
    419.10x = 577.62 × 336.06
  4. Step 4: Simplify right side
    419.10x = 194,115.32
  5. Step 5: Solve for x
    x = 194,115.32/419.10
  6. Step 6: Final answer
    x = 463.17

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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.