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Finding the Fourth Proportional to 451.84, 623.24 and 417.48

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Solution

The fourth proportional to 451.84, 623.24 and 417.48 is: 575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.84 : 623.24 = 417.48 : x
  2. Step 2: Convert to fraction form
    451.84/623.24 = 417.48/x
  3. Step 3: Cross multiply
    451.84x = 623.24 × 417.48
  4. Step 4: Simplify right side
    451.84x = 260,190.24
  5. Step 5: Solve for x
    x = 260,190.24/451.84
  6. Step 6: Final answer
    x = 575.85

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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.