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Finding the Fourth Proportional to 647.11, 971.07 and 358.75

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Solution

The fourth proportional to 647.11, 971.07 and 358.75 is: 538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.11 : 971.07 = 358.75 : x
  2. Step 2: Convert to fraction form
    647.11/971.07 = 358.75/x
  3. Step 3: Cross multiply
    647.11x = 971.07 × 358.75
  4. Step 4: Simplify right side
    647.11x = 348,371.36
  5. Step 5: Solve for x
    x = 348,371.36/647.11
  6. Step 6: Final answer
    x = 538.35

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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.