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Finding the Fourth Proportional to 409.06, 608.70 and 407.70

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Solution

The fourth proportional to 409.06, 608.70 and 407.70 is: 606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.06 : 608.70 = 407.70 : x
  2. Step 2: Convert to fraction form
    409.06/608.70 = 407.70/x
  3. Step 3: Cross multiply
    409.06x = 608.70 × 407.70
  4. Step 4: Simplify right side
    409.06x = 248,166.99
  5. Step 5: Solve for x
    x = 248,166.99/409.06
  6. Step 6: Final answer
    x = 606.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.