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Finding the Fourth Proportional to 562.84, 776.82 and 408.04

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Solution

The fourth proportional to 562.84, 776.82 and 408.04 is: 563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.84 : 776.82 = 408.04 : x
  2. Step 2: Convert to fraction form
    562.84/776.82 = 408.04/x
  3. Step 3: Cross multiply
    562.84x = 776.82 × 408.04
  4. Step 4: Simplify right side
    562.84x = 316,973.63
  5. Step 5: Solve for x
    x = 316,973.63/562.84
  6. Step 6: Final answer
    x = 563.17

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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.