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Finding the Fourth Proportional to 405.71, 608.72 and 314.48

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Solution

The fourth proportional to 405.71, 608.72 and 314.48 is: 471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.71 : 608.72 = 314.48 : x
  2. Step 2: Convert to fraction form
    405.71/608.72 = 314.48/x
  3. Step 3: Cross multiply
    405.71x = 608.72 × 314.48
  4. Step 4: Simplify right side
    405.71x = 191,430.21
  5. Step 5: Solve for x
    x = 191,430.21/405.71
  6. Step 6: Final answer
    x = 471.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.