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Finding the Fourth Proportional to 386.15, 532.31 and 302.99

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Solution

The fourth proportional to 386.15, 532.31 and 302.99 is: 417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.15 : 532.31 = 302.99 : x
  2. Step 2: Convert to fraction form
    386.15/532.31 = 302.99/x
  3. Step 3: Cross multiply
    386.15x = 532.31 × 302.99
  4. Step 4: Simplify right side
    386.15x = 161,280.43
  5. Step 5: Solve for x
    x = 161,280.43/386.15
  6. Step 6: Final answer
    x = 417.67

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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.