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Finding the Fourth Proportional to 603.84, 906.51 and 409.70

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Solution

The fourth proportional to 603.84, 906.51 and 409.70 is: 615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.84 : 906.51 = 409.70 : x
  2. Step 2: Convert to fraction form
    603.84/906.51 = 409.70/x
  3. Step 3: Cross multiply
    603.84x = 906.51 × 409.70
  4. Step 4: Simplify right side
    603.84x = 371,392.61
  5. Step 5: Solve for x
    x = 371,392.61/603.84
  6. Step 6: Final answer
    x = 615.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.