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Finding the Fourth Proportional to 319.01, 436.44 and 317.65

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Solution

The fourth proportional to 319.01, 436.44 and 317.65 is: 434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.01 : 436.44 = 317.65 : x
  2. Step 2: Convert to fraction form
    319.01/436.44 = 317.65/x
  3. Step 3: Cross multiply
    319.01x = 436.44 × 317.65
  4. Step 4: Simplify right side
    319.01x = 138,635.17
  5. Step 5: Solve for x
    x = 138,635.17/319.01
  6. Step 6: Final answer
    x = 434.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.