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Finding the Fourth Proportional to 479.42, 661.37 and 313.57

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Solution

The fourth proportional to 479.42, 661.37 and 313.57 is: 432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.42 : 661.37 = 313.57 : x
  2. Step 2: Convert to fraction form
    479.42/661.37 = 313.57/x
  3. Step 3: Cross multiply
    479.42x = 661.37 × 313.57
  4. Step 4: Simplify right side
    479.42x = 207,385.79
  5. Step 5: Solve for x
    x = 207,385.79/479.42
  6. Step 6: Final answer
    x = 432.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.