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Finding the Fourth Proportional to 553.18, 763.60 and 406.58

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Solution

The fourth proportional to 553.18, 763.60 and 406.58 is: 561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.18 : 763.60 = 406.58 : x
  2. Step 2: Convert to fraction form
    553.18/763.60 = 406.58/x
  3. Step 3: Cross multiply
    553.18x = 763.60 × 406.58
  4. Step 4: Simplify right side
    553.18x = 310,464.49
  5. Step 5: Solve for x
    x = 310,464.49/553.18
  6. Step 6: Final answer
    x = 561.24

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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.