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Finding the Fourth Proportional to 430.92, 647.09 and 409.01

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Solution

The fourth proportional to 430.92, 647.09 and 409.01 is: 614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.92 : 647.09 = 409.01 : x
  2. Step 2: Convert to fraction form
    430.92/647.09 = 409.01/x
  3. Step 3: Cross multiply
    430.92x = 647.09 × 409.01
  4. Step 4: Simplify right side
    430.92x = 264,663.43
  5. Step 5: Solve for x
    x = 264,663.43/430.92
  6. Step 6: Final answer
    x = 614.18

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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.