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Finding the Fourth Proportional to 708.03, 976.18 and 474.75

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Solution

The fourth proportional to 708.03, 976.18 and 474.75 is: 654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.03 : 976.18 = 474.75 : x
  2. Step 2: Convert to fraction form
    708.03/976.18 = 474.75/x
  3. Step 3: Cross multiply
    708.03x = 976.18 × 474.75
  4. Step 4: Simplify right side
    708.03x = 463,441.46
  5. Step 5: Solve for x
    x = 463,441.46/708.03
  6. Step 6: Final answer
    x = 654.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.