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Finding the Fourth Proportional to 452.86, 624.82 and 295.51

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Solution

The fourth proportional to 452.86, 624.82 and 295.51 is: 407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.86 : 624.82 = 295.51 : x
  2. Step 2: Convert to fraction form
    452.86/624.82 = 295.51/x
  3. Step 3: Cross multiply
    452.86x = 624.82 × 295.51
  4. Step 4: Simplify right side
    452.86x = 184,640.56
  5. Step 5: Solve for x
    x = 184,640.56/452.86
  6. Step 6: Final answer
    x = 407.72

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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.