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Finding the Fourth Proportional to 661.02, 991.85 and 314.52

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Solution

The fourth proportional to 661.02, 991.85 and 314.52 is: 471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.02 : 991.85 = 314.52 : x
  2. Step 2: Convert to fraction form
    661.02/991.85 = 314.52/x
  3. Step 3: Cross multiply
    661.02x = 991.85 × 314.52
  4. Step 4: Simplify right side
    661.02x = 311,955.09
  5. Step 5: Solve for x
    x = 311,955.09/661.02
  6. Step 6: Final answer
    x = 471.93

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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.