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Finding the Fourth Proportional to 623.61, 935.74 and 277.19

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Solution

The fourth proportional to 623.61, 935.74 and 277.19 is: 415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.61 : 935.74 = 277.19 : x
  2. Step 2: Convert to fraction form
    623.61/935.74 = 277.19/x
  3. Step 3: Cross multiply
    623.61x = 935.74 × 277.19
  4. Step 4: Simplify right side
    623.61x = 259,377.08
  5. Step 5: Solve for x
    x = 259,377.08/623.61
  6. Step 6: Final answer
    x = 415.93

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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.