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Finding the Fourth Proportional to 362.65, 499.44 and 316

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Solution

The fourth proportional to 362.65, 499.44 and 316 is: 435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.65 : 499.44 = 316 : x
  2. Step 2: Convert to fraction form
    362.65/499.44 = 316/x
  3. Step 3: Cross multiply
    362.65x = 499.44 × 316
  4. Step 4: Simplify right side
    362.65x = 157,823.04
  5. Step 5: Solve for x
    x = 157,823.04/362.65
  6. Step 6: Final answer
    x = 435.19

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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.