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Finding the Fourth Proportional to 651.50, 975.33 and 419.70

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Solution

The fourth proportional to 651.50, 975.33 and 419.70 is: 628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.50 : 975.33 = 419.70 : x
  2. Step 2: Convert to fraction form
    651.50/975.33 = 419.70/x
  3. Step 3: Cross multiply
    651.50x = 975.33 × 419.70
  4. Step 4: Simplify right side
    651.50x = 409,349.66
  5. Step 5: Solve for x
    x = 409,349.66/651.50
  6. Step 6: Final answer
    x = 628.32

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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.