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Finding the Fourth Proportional to 975, 1,462.64 and 358.60

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Solution

The fourth proportional to 975, 1,462.64 and 358.60 is: 537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    975 : 1,462.64 = 358.60 : x
  2. Step 2: Convert to fraction form
    975/1,462.64 = 358.60/x
  3. Step 3: Cross multiply
    975x = 1,462.64 × 358.60
  4. Step 4: Simplify right side
    975x = 524,502.70
  5. Step 5: Solve for x
    x = 524,502.70/975
  6. Step 6: Final answer
    x = 537.95

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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.