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Finding the Fourth Proportional to 557.58, 768.70 and 470.10

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Solution

The fourth proportional to 557.58, 768.70 and 470.10 is: 648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.58 : 768.70 = 470.10 : x
  2. Step 2: Convert to fraction form
    557.58/768.70 = 470.10/x
  3. Step 3: Cross multiply
    557.58x = 768.70 × 470.10
  4. Step 4: Simplify right side
    557.58x = 361,359.68
  5. Step 5: Solve for x
    x = 361,359.68/557.58
  6. Step 6: Final answer
    x = 648.09

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