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Finding the Fourth Proportional to 650.28, 897.66 and 510.78

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Solution

The fourth proportional to 650.28, 897.66 and 510.78 is: 705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.28 : 897.66 = 510.78 : x
  2. Step 2: Convert to fraction form
    650.28/897.66 = 510.78/x
  3. Step 3: Cross multiply
    650.28x = 897.66 × 510.78
  4. Step 4: Simplify right side
    650.28x = 458,506.77
  5. Step 5: Solve for x
    x = 458,506.77/650.28
  6. Step 6: Final answer
    x = 705.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.