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Finding the Fourth Proportional to 975.21, 1,461.94 and 358.50

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Solution

The fourth proportional to 975.21, 1,461.94 and 358.50 is: 537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.21 : 1,461.94 = 358.50 : x
  2. Step 2: Convert to fraction form
    975.21/1,461.94 = 358.50/x
  3. Step 3: Cross multiply
    975.21x = 1,461.94 × 358.50
  4. Step 4: Simplify right side
    975.21x = 524,105.49
  5. Step 5: Solve for x
    x = 524,105.49/975.21
  6. Step 6: Final answer
    x = 537.43

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Why These Related Problems?

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