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Finding the Fourth Proportional to 419.84, 630.24 and 398.08

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Solution

The fourth proportional to 419.84, 630.24 and 398.08 is: 597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.84 : 630.24 = 398.08 : x
  2. Step 2: Convert to fraction form
    419.84/630.24 = 398.08/x
  3. Step 3: Cross multiply
    419.84x = 630.24 × 398.08
  4. Step 4: Simplify right side
    419.84x = 250,885.94
  5. Step 5: Solve for x
    x = 250,885.94/419.84
  6. Step 6: Final answer
    x = 597.58

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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.