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Finding the Fourth Proportional to 975.71, 1,463.55 and 245.29

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Solution

The fourth proportional to 975.71, 1,463.55 and 245.29 is: 367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.71 : 1,463.55 = 245.29 : x
  2. Step 2: Convert to fraction form
    975.71/1,463.55 = 245.29/x
  3. Step 3: Cross multiply
    975.71x = 1,463.55 × 245.29
  4. Step 4: Simplify right side
    975.71x = 358,985.64
  5. Step 5: Solve for x
    x = 358,985.64/975.71
  6. Step 6: Final answer
    x = 367.92

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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.