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Finding the Fourth Proportional to 567.71, 853.26 and 470.84

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Solution

The fourth proportional to 567.71, 853.26 and 470.84 is: 707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.71 : 853.26 = 470.84 : x
  2. Step 2: Convert to fraction form
    567.71/853.26 = 470.84/x
  3. Step 3: Cross multiply
    567.71x = 853.26 × 470.84
  4. Step 4: Simplify right side
    567.71x = 401,749.31
  5. Step 5: Solve for x
    x = 401,749.31/567.71
  6. Step 6: Final answer
    x = 707.67

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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.