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Finding the Fourth Proportional to 315.28, 469.60 and 295.28

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Solution

The fourth proportional to 315.28, 469.60 and 295.28 is: 439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.28 : 469.60 = 295.28 : x
  2. Step 2: Convert to fraction form
    315.28/469.60 = 295.28/x
  3. Step 3: Cross multiply
    315.28x = 469.60 × 295.28
  4. Step 4: Simplify right side
    315.28x = 138,663.49
  5. Step 5: Solve for x
    x = 138,663.49/315.28
  6. Step 6: Final answer
    x = 439.81

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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.