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Finding the Fourth Proportional to 405.78, 559.32 and 317.10

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Solution

The fourth proportional to 405.78, 559.32 and 317.10 is: 437.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.78 : 559.32 = 317.10 : x
  2. Step 2: Convert to fraction form
    405.78/559.32 = 317.10/x
  3. Step 3: Cross multiply
    405.78x = 559.32 × 317.10
  4. Step 4: Simplify right side
    405.78x = 177,361.28
  5. Step 5: Solve for x
    x = 177,361.28/405.78
  6. Step 6: Final answer
    x = 437.09

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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.