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Finding the Fourth Proportional to 452.50, 624.49 and 256.02

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Solution

The fourth proportional to 452.50, 624.49 and 256.02 is: 353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.50 : 624.49 = 256.02 : x
  2. Step 2: Convert to fraction form
    452.50/624.49 = 256.02/x
  3. Step 3: Cross multiply
    452.50x = 624.49 × 256.02
  4. Step 4: Simplify right side
    452.50x = 159,881.93
  5. Step 5: Solve for x
    x = 159,881.93/452.50
  6. Step 6: Final answer
    x = 353.33

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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.