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Finding the Fourth Proportional to 607.24, 910.32 and 282.34

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Solution

The fourth proportional to 607.24, 910.32 and 282.34 is: 423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.24 : 910.32 = 282.34 : x
  2. Step 2: Convert to fraction form
    607.24/910.32 = 282.34/x
  3. Step 3: Cross multiply
    607.24x = 910.32 × 282.34
  4. Step 4: Simplify right side
    607.24x = 257,019.75
  5. Step 5: Solve for x
    x = 257,019.75/607.24
  6. Step 6: Final answer
    x = 423.26

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