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Finding the Fourth Proportional to 931.48, 1,396.80 and 383.52

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Solution

The fourth proportional to 931.48, 1,396.80 and 383.52 is: 575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.48 : 1,396.80 = 383.52 : x
  2. Step 2: Convert to fraction form
    931.48/1,396.80 = 383.52/x
  3. Step 3: Cross multiply
    931.48x = 1,396.80 × 383.52
  4. Step 4: Simplify right side
    931.48x = 535,700.74
  5. Step 5: Solve for x
    x = 535,700.74/931.48
  6. Step 6: Final answer
    x = 575.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.