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Finding the Fourth Proportional to 403.15, 604.57 and 143.10

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Solution

The fourth proportional to 403.15, 604.57 and 143.10 is: 214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.15 : 604.57 = 143.10 : x
  2. Step 2: Convert to fraction form
    403.15/604.57 = 143.10/x
  3. Step 3: Cross multiply
    403.15x = 604.57 × 143.10
  4. Step 4: Simplify right side
    403.15x = 86,513.25
  5. Step 5: Solve for x
    x = 86,513.25/403.15
  6. Step 6: Final answer
    x = 214.60

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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.