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Finding the Fourth Proportional to 525.20, 722.66 and 470.07

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Solution

The fourth proportional to 525.20, 722.66 and 470.07 is: 646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.20 : 722.66 = 470.07 : x
  2. Step 2: Convert to fraction form
    525.20/722.66 = 470.07/x
  3. Step 3: Cross multiply
    525.20x = 722.66 × 470.07
  4. Step 4: Simplify right side
    525.20x = 339,698.44
  5. Step 5: Solve for x
    x = 339,698.44/525.20
  6. Step 6: Final answer
    x = 646.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.