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Finding the Fourth Proportional to 403.61, 557.00 and 305.19

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Solution

The fourth proportional to 403.61, 557.00 and 305.19 is: 421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.61 : 557.00 = 305.19 : x
  2. Step 2: Convert to fraction form
    403.61/557.00 = 305.19/x
  3. Step 3: Cross multiply
    403.61x = 557.00 × 305.19
  4. Step 4: Simplify right side
    403.61x = 169,989.30
  5. Step 5: Solve for x
    x = 169,989.30/403.61
  6. Step 6: Final answer
    x = 421.18

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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.