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Finding the Fourth Proportional to 470.34, 706.19 and 406.01

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Solution

The fourth proportional to 470.34, 706.19 and 406.01 is: 609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.34 : 706.19 = 406.01 : x
  2. Step 2: Convert to fraction form
    470.34/706.19 = 406.01/x
  3. Step 3: Cross multiply
    470.34x = 706.19 × 406.01
  4. Step 4: Simplify right side
    470.34x = 286,719.94
  5. Step 5: Solve for x
    x = 286,719.94/470.34
  6. Step 6: Final answer
    x = 609.60

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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.