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Finding the Fourth Proportional to 556.37, 766.14 and 477.10

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Solution

The fourth proportional to 556.37, 766.14 and 477.10 is: 656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.37 : 766.14 = 477.10 : x
  2. Step 2: Convert to fraction form
    556.37/766.14 = 477.10/x
  3. Step 3: Cross multiply
    556.37x = 766.14 × 477.10
  4. Step 4: Simplify right side
    556.37x = 365,521.56
  5. Step 5: Solve for x
    x = 365,521.56/556.37
  6. Step 6: Final answer
    x = 656.98

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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.