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Finding the Fourth Proportional to 927.07, 1,390.47 and 310.75

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Solution

The fourth proportional to 927.07, 1,390.47 and 310.75 is: 466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.07 : 1,390.47 = 310.75 : x
  2. Step 2: Convert to fraction form
    927.07/1,390.47 = 310.75/x
  3. Step 3: Cross multiply
    927.07x = 1,390.47 × 310.75
  4. Step 4: Simplify right side
    927.07x = 432,088.55
  5. Step 5: Solve for x
    x = 432,088.55/927.07
  6. Step 6: Final answer
    x = 466.08

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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.