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Finding the Fourth Proportional to 584.51, 877.16 and 378.56

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Solution

The fourth proportional to 584.51, 877.16 and 378.56 is: 568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.51 : 877.16 = 378.56 : x
  2. Step 2: Convert to fraction form
    584.51/877.16 = 378.56/x
  3. Step 3: Cross multiply
    584.51x = 877.16 × 378.56
  4. Step 4: Simplify right side
    584.51x = 332,060.83
  5. Step 5: Solve for x
    x = 332,060.83/584.51
  6. Step 6: Final answer
    x = 568.11

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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.