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Finding the Fourth Proportional to 556.04, 766.86 and 406.64

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Solution

The fourth proportional to 556.04, 766.86 and 406.64 is: 560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.04 : 766.86 = 406.64 : x
  2. Step 2: Convert to fraction form
    556.04/766.86 = 406.64/x
  3. Step 3: Cross multiply
    556.04x = 766.86 × 406.64
  4. Step 4: Simplify right side
    556.04x = 311,835.95
  5. Step 5: Solve for x
    x = 311,835.95/556.04
  6. Step 6: Final answer
    x = 560.82

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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.