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Finding the Fourth Proportional to 647.57, 971.70 and 351.06

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Solution

The fourth proportional to 647.57, 971.70 and 351.06 is: 526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.57 : 971.70 = 351.06 : x
  2. Step 2: Convert to fraction form
    647.57/971.70 = 351.06/x
  3. Step 3: Cross multiply
    647.57x = 971.70 × 351.06
  4. Step 4: Simplify right side
    647.57x = 341,125.00
  5. Step 5: Solve for x
    x = 341,125.00/647.57
  6. Step 6: Final answer
    x = 526.78

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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.