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Finding the Fourth Proportional to 610.63, 914.58 and 473.27

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Solution

The fourth proportional to 610.63, 914.58 and 473.27 is: 708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.63 : 914.58 = 473.27 : x
  2. Step 2: Convert to fraction form
    610.63/914.58 = 473.27/x
  3. Step 3: Cross multiply
    610.63x = 914.58 × 473.27
  4. Step 4: Simplify right side
    610.63x = 432,838.70
  5. Step 5: Solve for x
    x = 432,838.70/610.63
  6. Step 6: Final answer
    x = 708.84

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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.