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Finding the Fourth Proportional to 590.48, 885.76 and 157.62

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Solution

The fourth proportional to 590.48, 885.76 and 157.62 is: 236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.48 : 885.76 = 157.62 : x
  2. Step 2: Convert to fraction form
    590.48/885.76 = 157.62/x
  3. Step 3: Cross multiply
    590.48x = 885.76 × 157.62
  4. Step 4: Simplify right side
    590.48x = 139,613.49
  5. Step 5: Solve for x
    x = 139,613.49/590.48
  6. Step 6: Final answer
    x = 236.44

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