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Finding the Fourth Proportional to 406.34, 561.38 and 313.46

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Solution

The fourth proportional to 406.34, 561.38 and 313.46 is: 433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.34 : 561.38 = 313.46 : x
  2. Step 2: Convert to fraction form
    406.34/561.38 = 313.46/x
  3. Step 3: Cross multiply
    406.34x = 561.38 × 313.46
  4. Step 4: Simplify right side
    406.34x = 175,970.17
  5. Step 5: Solve for x
    x = 175,970.17/406.34
  6. Step 6: Final answer
    x = 433.06

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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.