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Finding the Fourth Proportional to 587.66, 882.09 and 480.74

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Solution

The fourth proportional to 587.66, 882.09 and 480.74 is: 721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.66 : 882.09 = 480.74 : x
  2. Step 2: Convert to fraction form
    587.66/882.09 = 480.74/x
  3. Step 3: Cross multiply
    587.66x = 882.09 × 480.74
  4. Step 4: Simplify right side
    587.66x = 424,051.54
  5. Step 5: Solve for x
    x = 424,051.54/587.66
  6. Step 6: Final answer
    x = 721.60

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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.