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Finding the Fourth Proportional to 416.70, 575.78 and 312.21

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Solution

The fourth proportional to 416.70, 575.78 and 312.21 is: 431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.70 : 575.78 = 312.21 : x
  2. Step 2: Convert to fraction form
    416.70/575.78 = 312.21/x
  3. Step 3: Cross multiply
    416.70x = 575.78 × 312.21
  4. Step 4: Simplify right side
    416.70x = 179,762.71
  5. Step 5: Solve for x
    x = 179,762.71/416.70
  6. Step 6: Final answer
    x = 431.40

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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.