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Finding the Fourth Proportional to 965.04, 1,447.68 and 315.84

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Solution

The fourth proportional to 965.04, 1,447.68 and 315.84 is: 473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.04 : 1,447.68 = 315.84 : x
  2. Step 2: Convert to fraction form
    965.04/1,447.68 = 315.84/x
  3. Step 3: Cross multiply
    965.04x = 1,447.68 × 315.84
  4. Step 4: Simplify right side
    965.04x = 457,235.25
  5. Step 5: Solve for x
    x = 457,235.25/965.04
  6. Step 6: Final answer
    x = 473.80

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Why These Related Problems?

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