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Finding the Fourth Proportional to 566.84, 782.21 and 346.16

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Solution

The fourth proportional to 566.84, 782.21 and 346.16 is: 477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.84 : 782.21 = 346.16 : x
  2. Step 2: Convert to fraction form
    566.84/782.21 = 346.16/x
  3. Step 3: Cross multiply
    566.84x = 782.21 × 346.16
  4. Step 4: Simplify right side
    566.84x = 270,766.77
  5. Step 5: Solve for x
    x = 270,766.77/566.84
  6. Step 6: Final answer
    x = 477.68

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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.