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Finding the Fourth Proportional to 431.76, 594.96 and 313.54

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Solution

The fourth proportional to 431.76, 594.96 and 313.54 is: 432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.76 : 594.96 = 313.54 : x
  2. Step 2: Convert to fraction form
    431.76/594.96 = 313.54/x
  3. Step 3: Cross multiply
    431.76x = 594.96 × 313.54
  4. Step 4: Simplify right side
    431.76x = 186,543.76
  5. Step 5: Solve for x
    x = 186,543.76/431.76
  6. Step 6: Final answer
    x = 432.05

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Why These Related Problems?

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