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Finding the Fourth Proportional to 353.19, 531.57 and 313.50

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Solution

The fourth proportional to 353.19, 531.57 and 313.50 is: 471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.19 : 531.57 = 313.50 : x
  2. Step 2: Convert to fraction form
    353.19/531.57 = 313.50/x
  3. Step 3: Cross multiply
    353.19x = 531.57 × 313.50
  4. Step 4: Simplify right side
    353.19x = 166,647.20
  5. Step 5: Solve for x
    x = 166,647.20/353.19
  6. Step 6: Final answer
    x = 471.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.