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Finding the Fourth Proportional to 572.81, 859.41 and 470.34

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Solution

The fourth proportional to 572.81, 859.41 and 470.34 is: 705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.81 : 859.41 = 470.34 : x
  2. Step 2: Convert to fraction form
    572.81/859.41 = 470.34/x
  3. Step 3: Cross multiply
    572.81x = 859.41 × 470.34
  4. Step 4: Simplify right side
    572.81x = 404,214.90
  5. Step 5: Solve for x
    x = 404,214.90/572.81
  6. Step 6: Final answer
    x = 705.68

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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.