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Finding the Fourth Proportional to 453.93, 627 and 412.35

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Solution

The fourth proportional to 453.93, 627 and 412.35 is: 569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.93 : 627 = 412.35 : x
  2. Step 2: Convert to fraction form
    453.93/627 = 412.35/x
  3. Step 3: Cross multiply
    453.93x = 627 × 412.35
  4. Step 4: Simplify right side
    453.93x = 258,543.45
  5. Step 5: Solve for x
    x = 258,543.45/453.93
  6. Step 6: Final answer
    x = 569.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.