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Finding the Fourth Proportional to 562.63, 842.58 and 486.09

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Solution

The fourth proportional to 562.63, 842.58 and 486.09 is: 727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.63 : 842.58 = 486.09 : x
  2. Step 2: Convert to fraction form
    562.63/842.58 = 486.09/x
  3. Step 3: Cross multiply
    562.63x = 842.58 × 486.09
  4. Step 4: Simplify right side
    562.63x = 409,569.71
  5. Step 5: Solve for x
    x = 409,569.71/562.63
  6. Step 6: Final answer
    x = 727.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.