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Finding the Fourth Proportional to 647.46, 970.56 and 403.56

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Solution

The fourth proportional to 647.46, 970.56 and 403.56 is: 604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.46 : 970.56 = 403.56 : x
  2. Step 2: Convert to fraction form
    647.46/970.56 = 403.56/x
  3. Step 3: Cross multiply
    647.46x = 970.56 × 403.56
  4. Step 4: Simplify right side
    647.46x = 391,679.19
  5. Step 5: Solve for x
    x = 391,679.19/647.46
  6. Step 6: Final answer
    x = 604.95

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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.