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Finding the Fourth Proportional to 615.53, 849.57 and 419.51

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Solution

The fourth proportional to 615.53, 849.57 and 419.51 is: 579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.53 : 849.57 = 419.51 : x
  2. Step 2: Convert to fraction form
    615.53/849.57 = 419.51/x
  3. Step 3: Cross multiply
    615.53x = 849.57 × 419.51
  4. Step 4: Simplify right side
    615.53x = 356,403.11
  5. Step 5: Solve for x
    x = 356,403.11/615.53
  6. Step 6: Final answer
    x = 579.02

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Why These Related Problems?

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