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Finding the Fourth Proportional to 652.18, 976.64 and 407.96

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Solution

The fourth proportional to 652.18, 976.64 and 407.96 is: 610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.18 : 976.64 = 407.96 : x
  2. Step 2: Convert to fraction form
    652.18/976.64 = 407.96/x
  3. Step 3: Cross multiply
    652.18x = 976.64 × 407.96
  4. Step 4: Simplify right side
    652.18x = 398,430.05
  5. Step 5: Solve for x
    x = 398,430.05/652.18
  6. Step 6: Final answer
    x = 610.92

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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.