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Finding the Fourth Proportional to 935.65, 1,403.60 and 319.20

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Solution

The fourth proportional to 935.65, 1,403.60 and 319.20 is: 478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.65 : 1,403.60 = 319.20 : x
  2. Step 2: Convert to fraction form
    935.65/1,403.60 = 319.20/x
  3. Step 3: Cross multiply
    935.65x = 1,403.60 × 319.20
  4. Step 4: Simplify right side
    935.65x = 448,029.12
  5. Step 5: Solve for x
    x = 448,029.12/935.65
  6. Step 6: Final answer
    x = 478.84

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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.