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Finding the Fourth Proportional to 590.49, 885.78 and 157.64

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Solution

The fourth proportional to 590.49, 885.78 and 157.64 is: 236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.49 : 885.78 = 157.64 : x
  2. Step 2: Convert to fraction form
    590.49/885.78 = 157.64/x
  3. Step 3: Cross multiply
    590.49x = 885.78 × 157.64
  4. Step 4: Simplify right side
    590.49x = 139,629.93
  5. Step 5: Solve for x
    x = 139,629.93/590.49
  6. Step 6: Final answer
    x = 236.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.