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Finding the Fourth Proportional to 324.76, 483.86 and 317.47

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Solution

The fourth proportional to 324.76, 483.86 and 317.47 is: 473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.76 : 483.86 = 317.47 : x
  2. Step 2: Convert to fraction form
    324.76/483.86 = 317.47/x
  3. Step 3: Cross multiply
    324.76x = 483.86 × 317.47
  4. Step 4: Simplify right side
    324.76x = 153,611.03
  5. Step 5: Solve for x
    x = 153,611.03/324.76
  6. Step 6: Final answer
    x = 473.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.