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Finding the Fourth Proportional to 491.57, 679.20 and 429.30

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Solution

The fourth proportional to 491.57, 679.20 and 429.30 is: 593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.57 : 679.20 = 429.30 : x
  2. Step 2: Convert to fraction form
    491.57/679.20 = 429.30/x
  3. Step 3: Cross multiply
    491.57x = 679.20 × 429.30
  4. Step 4: Simplify right side
    491.57x = 291,580.56
  5. Step 5: Solve for x
    x = 291,580.56/491.57
  6. Step 6: Final answer
    x = 593.17

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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.