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Finding the Fourth Proportional to 403.48, 605.10 and 257.02

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Solution

The fourth proportional to 403.48, 605.10 and 257.02 is: 385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.48 : 605.10 = 257.02 : x
  2. Step 2: Convert to fraction form
    403.48/605.10 = 257.02/x
  3. Step 3: Cross multiply
    403.48x = 605.10 × 257.02
  4. Step 4: Simplify right side
    403.48x = 155,520.42
  5. Step 5: Solve for x
    x = 155,520.42/403.48
  6. Step 6: Final answer
    x = 385.45

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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.