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Finding the Fourth Proportional to 975.20, 1,461.90 and 358.57

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Solution

The fourth proportional to 975.20, 1,461.90 and 358.57 is: 537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.20 : 1,461.90 = 358.57 : x
  2. Step 2: Convert to fraction form
    975.20/1,461.90 = 358.57/x
  3. Step 3: Cross multiply
    975.20x = 1,461.90 × 358.57
  4. Step 4: Simplify right side
    975.20x = 524,186.17
  5. Step 5: Solve for x
    x = 524,186.17/975.20
  6. Step 6: Final answer
    x = 537.52

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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.