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Finding the Fourth Proportional to 448.84, 618.06 and 416.17

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Solution

The fourth proportional to 448.84, 618.06 and 416.17 is: 573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.84 : 618.06 = 416.17 : x
  2. Step 2: Convert to fraction form
    448.84/618.06 = 416.17/x
  3. Step 3: Cross multiply
    448.84x = 618.06 × 416.17
  4. Step 4: Simplify right side
    448.84x = 257,218.03
  5. Step 5: Solve for x
    x = 257,218.03/448.84
  6. Step 6: Final answer
    x = 573.07

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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.