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Finding the Fourth Proportional to 624.27, 935.80 and 349.77

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Solution

The fourth proportional to 624.27, 935.80 and 349.77 is: 524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.27 : 935.80 = 349.77 : x
  2. Step 2: Convert to fraction form
    624.27/935.80 = 349.77/x
  3. Step 3: Cross multiply
    624.27x = 935.80 × 349.77
  4. Step 4: Simplify right side
    624.27x = 327,314.10
  5. Step 5: Solve for x
    x = 327,314.10/624.27
  6. Step 6: Final answer
    x = 524.31

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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.