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Finding the Fourth Proportional to 435.46, 652.20 and 313.34

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Solution

The fourth proportional to 435.46, 652.20 and 313.34 is: 469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.46 : 652.20 = 313.34 : x
  2. Step 2: Convert to fraction form
    435.46/652.20 = 313.34/x
  3. Step 3: Cross multiply
    435.46x = 652.20 × 313.34
  4. Step 4: Simplify right side
    435.46x = 204,360.35
  5. Step 5: Solve for x
    x = 204,360.35/435.46
  6. Step 6: Final answer
    x = 469.30

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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.