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Finding the Fourth Proportional to 553.21, 763.29 and 340.58

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Solution

The fourth proportional to 553.21, 763.29 and 340.58 is: 469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.21 : 763.29 = 340.58 : x
  2. Step 2: Convert to fraction form
    553.21/763.29 = 340.58/x
  3. Step 3: Cross multiply
    553.21x = 763.29 × 340.58
  4. Step 4: Simplify right side
    553.21x = 259,963.22
  5. Step 5: Solve for x
    x = 259,963.22/553.21
  6. Step 6: Final answer
    x = 469.92

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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.