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Finding the Fourth Proportional to 584.84, 807.14 and 445.36

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Solution

The fourth proportional to 584.84, 807.14 and 445.36 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.84 : 807.14 = 445.36 : x
  2. Step 2: Convert to fraction form
    584.84/807.14 = 445.36/x
  3. Step 3: Cross multiply
    584.84x = 807.14 × 445.36
  4. Step 4: Simplify right side
    584.84x = 359,467.87
  5. Step 5: Solve for x
    x = 359,467.87/584.84
  6. Step 6: Final answer
    x = 614.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.