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Finding the Fourth Proportional to 478.81, 661.02 and 313.19

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Solution

The fourth proportional to 478.81, 661.02 and 313.19 is: 432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.81 : 661.02 = 313.19 : x
  2. Step 2: Convert to fraction form
    478.81/661.02 = 313.19/x
  3. Step 3: Cross multiply
    478.81x = 661.02 × 313.19
  4. Step 4: Simplify right side
    478.81x = 207,025.20
  5. Step 5: Solve for x
    x = 207,025.20/478.81
  6. Step 6: Final answer
    x = 432.38

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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.