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Finding the Fourth Proportional to 584.29, 805.57 and 478.99

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Solution

The fourth proportional to 584.29, 805.57 and 478.99 is: 660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.29 : 805.57 = 478.99 : x
  2. Step 2: Convert to fraction form
    584.29/805.57 = 478.99/x
  3. Step 3: Cross multiply
    584.29x = 805.57 × 478.99
  4. Step 4: Simplify right side
    584.29x = 385,859.97
  5. Step 5: Solve for x
    x = 385,859.97/584.29
  6. Step 6: Final answer
    x = 660.39

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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.