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Finding the Fourth Proportional to 491.49, 677.34 and 412.88

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Solution

The fourth proportional to 491.49, 677.34 and 412.88 is: 569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.49 : 677.34 = 412.88 : x
  2. Step 2: Convert to fraction form
    491.49/677.34 = 412.88/x
  3. Step 3: Cross multiply
    491.49x = 677.34 × 412.88
  4. Step 4: Simplify right side
    491.49x = 279,656.75
  5. Step 5: Solve for x
    x = 279,656.75/491.49
  6. Step 6: Final answer
    x = 569.00

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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.