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Finding the Fourth Proportional to 584.84, 806.24 and 460

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Solution

The fourth proportional to 584.84, 806.24 and 460 is: 634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.84 : 806.24 = 460 : x
  2. Step 2: Convert to fraction form
    584.84/806.24 = 460/x
  3. Step 3: Cross multiply
    584.84x = 806.24 × 460
  4. Step 4: Simplify right side
    584.84x = 370,870.40
  5. Step 5: Solve for x
    x = 370,870.40/584.84
  6. Step 6: Final answer
    x = 634.14

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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.