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Finding the Fourth Proportional to 661.60, 913.20 and 399.52

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Solution

The fourth proportional to 661.60, 913.20 and 399.52 is: 551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.60 : 913.20 = 399.52 : x
  2. Step 2: Convert to fraction form
    661.60/913.20 = 399.52/x
  3. Step 3: Cross multiply
    661.60x = 913.20 × 399.52
  4. Step 4: Simplify right side
    661.60x = 364,841.66
  5. Step 5: Solve for x
    x = 364,841.66/661.60
  6. Step 6: Final answer
    x = 551.45

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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.