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Finding the Fourth Proportional to 556.31, 766.89 and 457.90

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Solution

The fourth proportional to 556.31, 766.89 and 457.90 is: 631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.31 : 766.89 = 457.90 : x
  2. Step 2: Convert to fraction form
    556.31/766.89 = 457.90/x
  3. Step 3: Cross multiply
    556.31x = 766.89 × 457.90
  4. Step 4: Simplify right side
    556.31x = 351,157.01
  5. Step 5: Solve for x
    x = 351,157.01/556.31
  6. Step 6: Final answer
    x = 631.22

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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.