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Finding the Fourth Proportional to 535.60, 801.60 and 470.80

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Solution

The fourth proportional to 535.60, 801.60 and 470.80 is: 704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.60 : 801.60 = 470.80 : x
  2. Step 2: Convert to fraction form
    535.60/801.60 = 470.80/x
  3. Step 3: Cross multiply
    535.60x = 801.60 × 470.80
  4. Step 4: Simplify right side
    535.60x = 377,393.28
  5. Step 5: Solve for x
    x = 377,393.28/535.60
  6. Step 6: Final answer
    x = 704.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.