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Finding the Fourth Proportional to 445.31, 614.32 and 346.40

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Solution

The fourth proportional to 445.31, 614.32 and 346.40 is: 477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.31 : 614.32 = 346.40 : x
  2. Step 2: Convert to fraction form
    445.31/614.32 = 346.40/x
  3. Step 3: Cross multiply
    445.31x = 614.32 × 346.40
  4. Step 4: Simplify right side
    445.31x = 212,801.12
  5. Step 5: Solve for x
    x = 212,801.12/445.31
  6. Step 6: Final answer
    x = 477.87

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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.