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Finding the Fourth Proportional to 470.68, 706.03 and 459.07

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Solution

The fourth proportional to 470.68, 706.03 and 459.07 is: 688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.68 : 706.03 = 459.07 : x
  2. Step 2: Convert to fraction form
    470.68/706.03 = 459.07/x
  3. Step 3: Cross multiply
    470.68x = 706.03 × 459.07
  4. Step 4: Simplify right side
    470.68x = 324,114.28
  5. Step 5: Solve for x
    x = 324,114.28/470.68
  6. Step 6: Final answer
    x = 688.61

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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.