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Finding the Fourth Proportional to 417.53, 624.51 and 243.77

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Solution

The fourth proportional to 417.53, 624.51 and 243.77 is: 364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.53 : 624.51 = 243.77 : x
  2. Step 2: Convert to fraction form
    417.53/624.51 = 243.77/x
  3. Step 3: Cross multiply
    417.53x = 624.51 × 243.77
  4. Step 4: Simplify right side
    417.53x = 152,233.68
  5. Step 5: Solve for x
    x = 152,233.68/417.53
  6. Step 6: Final answer
    x = 364.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.