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Finding the Fourth Proportional to 435.06, 652.59 and 313.56

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Solution

The fourth proportional to 435.06, 652.59 and 313.56 is: 470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.06 : 652.59 = 313.56 : x
  2. Step 2: Convert to fraction form
    435.06/652.59 = 313.56/x
  3. Step 3: Cross multiply
    435.06x = 652.59 × 313.56
  4. Step 4: Simplify right side
    435.06x = 204,626.12
  5. Step 5: Solve for x
    x = 204,626.12/435.06
  6. Step 6: Final answer
    x = 470.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.