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Finding the Fourth Proportional to 316.90, 437.53 and 283.65

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Solution

The fourth proportional to 316.90, 437.53 and 283.65 is: 391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.90 : 437.53 = 283.65 : x
  2. Step 2: Convert to fraction form
    316.90/437.53 = 283.65/x
  3. Step 3: Cross multiply
    316.90x = 437.53 × 283.65
  4. Step 4: Simplify right side
    316.90x = 124,105.74
  5. Step 5: Solve for x
    x = 124,105.74/316.90
  6. Step 6: Final answer
    x = 391.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.