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Finding the Fourth Proportional to 295.52, 407.53 and 225.45

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Solution

The fourth proportional to 295.52, 407.53 and 225.45 is: 310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.52 : 407.53 = 225.45 : x
  2. Step 2: Convert to fraction form
    295.52/407.53 = 225.45/x
  3. Step 3: Cross multiply
    295.52x = 407.53 × 225.45
  4. Step 4: Simplify right side
    295.52x = 91,877.92
  5. Step 5: Solve for x
    x = 91,877.92/295.52
  6. Step 6: Final answer
    x = 310.91

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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.