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Finding the Fourth Proportional to 407.14, 609.90 and 346.40

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Solution

The fourth proportional to 407.14, 609.90 and 346.40 is: 518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.14 : 609.90 = 346.40 : x
  2. Step 2: Convert to fraction form
    407.14/609.90 = 346.40/x
  3. Step 3: Cross multiply
    407.14x = 609.90 × 346.40
  4. Step 4: Simplify right side
    407.14x = 211,269.36
  5. Step 5: Solve for x
    x = 211,269.36/407.14
  6. Step 6: Final answer
    x = 518.91

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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.