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Finding the Fourth Proportional to 624.08, 936.28 and 282

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Solution

The fourth proportional to 624.08, 936.28 and 282 is: 423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.08 : 936.28 = 282 : x
  2. Step 2: Convert to fraction form
    624.08/936.28 = 282/x
  3. Step 3: Cross multiply
    624.08x = 936.28 × 282
  4. Step 4: Simplify right side
    624.08x = 264,030.96
  5. Step 5: Solve for x
    x = 264,030.96/624.08
  6. Step 6: Final answer
    x = 423.07

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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.