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Finding the Fourth Proportional to 405.29, 607.46 and 314.03

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Solution

The fourth proportional to 405.29, 607.46 and 314.03 is: 470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.29 : 607.46 = 314.03 : x
  2. Step 2: Convert to fraction form
    405.29/607.46 = 314.03/x
  3. Step 3: Cross multiply
    405.29x = 607.46 × 314.03
  4. Step 4: Simplify right side
    405.29x = 190,756.06
  5. Step 5: Solve for x
    x = 190,756.06/405.29
  6. Step 6: Final answer
    x = 470.67

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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.