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Finding the Fourth Proportional to 455.55, 624.28 and 411.81

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Solution

The fourth proportional to 455.55, 624.28 and 411.81 is: 564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.55 : 624.28 = 411.81 : x
  2. Step 2: Convert to fraction form
    455.55/624.28 = 411.81/x
  3. Step 3: Cross multiply
    455.55x = 624.28 × 411.81
  4. Step 4: Simplify right side
    455.55x = 257,084.75
  5. Step 5: Solve for x
    x = 257,084.75/455.55
  6. Step 6: Final answer
    x = 564.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.