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Finding the Fourth Proportional to 470.91, 706.77 and 409.76

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Solution

The fourth proportional to 470.91, 706.77 and 409.76 is: 614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.91 : 706.77 = 409.76 : x
  2. Step 2: Convert to fraction form
    470.91/706.77 = 409.76/x
  3. Step 3: Cross multiply
    470.91x = 706.77 × 409.76
  4. Step 4: Simplify right side
    470.91x = 289,602.54
  5. Step 5: Solve for x
    x = 289,602.54/470.91
  6. Step 6: Final answer
    x = 614.98

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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.