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Finding the Fourth Proportional to 584.48, 874.38 and 508.28

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Solution

The fourth proportional to 584.48, 874.38 and 508.28 is: 760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 874.38 = 508.28 : x
  2. Step 2: Convert to fraction form
    584.48/874.38 = 508.28/x
  3. Step 3: Cross multiply
    584.48x = 874.38 × 508.28
  4. Step 4: Simplify right side
    584.48x = 444,429.87
  5. Step 5: Solve for x
    x = 444,429.87/584.48
  6. Step 6: Final answer
    x = 760.39

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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.