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Finding the Fourth Proportional to 584.72, 877.56 and 296.24

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Solution

The fourth proportional to 584.72, 877.56 and 296.24 is: 444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.72 : 877.56 = 296.24 : x
  2. Step 2: Convert to fraction form
    584.72/877.56 = 296.24/x
  3. Step 3: Cross multiply
    584.72x = 877.56 × 296.24
  4. Step 4: Simplify right side
    584.72x = 259,968.37
  5. Step 5: Solve for x
    x = 259,968.37/584.72
  6. Step 6: Final answer
    x = 444.60

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Why These Related Problems?

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