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Finding the Fourth Proportional to 623.19, 935.14 and 281.19

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Solution

The fourth proportional to 623.19, 935.14 and 281.19 is: 421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.19 : 935.14 = 281.19 : x
  2. Step 2: Convert to fraction form
    623.19/935.14 = 281.19/x
  3. Step 3: Cross multiply
    623.19x = 935.14 × 281.19
  4. Step 4: Simplify right side
    623.19x = 262,952.02
  5. Step 5: Solve for x
    x = 262,952.02/623.19
  6. Step 6: Final answer
    x = 421.95

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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.