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Finding the Fourth Proportional to 470.91, 706.37 and 410.09

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Solution

The fourth proportional to 470.91, 706.37 and 410.09 is: 615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.91 : 706.37 = 410.09 : x
  2. Step 2: Convert to fraction form
    470.91/706.37 = 410.09/x
  3. Step 3: Cross multiply
    470.91x = 706.37 × 410.09
  4. Step 4: Simplify right side
    470.91x = 289,669.69
  5. Step 5: Solve for x
    x = 289,669.69/470.91
  6. Step 6: Final answer
    x = 615.13

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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.