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Finding the Fourth Proportional to 405.53, 608.13 and 319.86

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Solution

The fourth proportional to 405.53, 608.13 and 319.86 is: 479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.53 : 608.13 = 319.86 : x
  2. Step 2: Convert to fraction form
    405.53/608.13 = 319.86/x
  3. Step 3: Cross multiply
    405.53x = 608.13 × 319.86
  4. Step 4: Simplify right side
    405.53x = 194,516.46
  5. Step 5: Solve for x
    x = 194,516.46/405.53
  6. Step 6: Final answer
    x = 479.67

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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.