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Finding the Fourth Proportional to 584.47, 877.19 and 295.99

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Solution

The fourth proportional to 584.47, 877.19 and 295.99 is: 444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.47 : 877.19 = 295.99 : x
  2. Step 2: Convert to fraction form
    584.47/877.19 = 295.99/x
  3. Step 3: Cross multiply
    584.47x = 877.19 × 295.99
  4. Step 4: Simplify right side
    584.47x = 259,639.47
  5. Step 5: Solve for x
    x = 259,639.47/584.47
  6. Step 6: Final answer
    x = 444.23

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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.