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Finding the Fourth Proportional to 715.48, 1,073.63 and 282.94

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Solution

The fourth proportional to 715.48, 1,073.63 and 282.94 is: 424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.48 : 1,073.63 = 282.94 : x
  2. Step 2: Convert to fraction form
    715.48/1,073.63 = 282.94/x
  3. Step 3: Cross multiply
    715.48x = 1,073.63 × 282.94
  4. Step 4: Simplify right side
    715.48x = 303,770.90
  5. Step 5: Solve for x
    x = 303,770.90/715.48
  6. Step 6: Final answer
    x = 424.57

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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.