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Finding the Fourth Proportional to 407.70, 561.78 and 314.44

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Solution

The fourth proportional to 407.70, 561.78 and 314.44 is: 433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 561.78 = 314.44 : x
  2. Step 2: Convert to fraction form
    407.70/561.78 = 314.44/x
  3. Step 3: Cross multiply
    407.70x = 561.78 × 314.44
  4. Step 4: Simplify right side
    407.70x = 176,646.10
  5. Step 5: Solve for x
    x = 176,646.10/407.70
  6. Step 6: Final answer
    x = 433.27

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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.