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Finding the Fourth Proportional to 975.51, 1,463.23 and 245.08

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Solution

The fourth proportional to 975.51, 1,463.23 and 245.08 is: 367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.51 : 1,463.23 = 245.08 : x
  2. Step 2: Convert to fraction form
    975.51/1,463.23 = 245.08/x
  3. Step 3: Cross multiply
    975.51x = 1,463.23 × 245.08
  4. Step 4: Simplify right side
    975.51x = 358,602.31
  5. Step 5: Solve for x
    x = 358,602.31/975.51
  6. Step 6: Final answer
    x = 367.60

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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.