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Finding the Fourth Proportional to 568.59, 852.53 and 470.85

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Solution

The fourth proportional to 568.59, 852.53 and 470.85 is: 705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.59 : 852.53 = 470.85 : x
  2. Step 2: Convert to fraction form
    568.59/852.53 = 470.85/x
  3. Step 3: Cross multiply
    568.59x = 852.53 × 470.85
  4. Step 4: Simplify right side
    568.59x = 401,408.20
  5. Step 5: Solve for x
    x = 401,408.20/568.59
  6. Step 6: Final answer
    x = 705.98

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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.