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Finding the Fourth Proportional to 630.87, 870.03 and 409.59

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Solution

The fourth proportional to 630.87, 870.03 and 409.59 is: 564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.87 : 870.03 = 409.59 : x
  2. Step 2: Convert to fraction form
    630.87/870.03 = 409.59/x
  3. Step 3: Cross multiply
    630.87x = 870.03 × 409.59
  4. Step 4: Simplify right side
    630.87x = 356,355.59
  5. Step 5: Solve for x
    x = 356,355.59/630.87
  6. Step 6: Final answer
    x = 564.86

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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.