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Finding the Fourth Proportional to 617.64, 852.06 and 418.40

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Solution

The fourth proportional to 617.64, 852.06 and 418.40 is: 577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.64 : 852.06 = 418.40 : x
  2. Step 2: Convert to fraction form
    617.64/852.06 = 418.40/x
  3. Step 3: Cross multiply
    617.64x = 852.06 × 418.40
  4. Step 4: Simplify right side
    617.64x = 356,501.90
  5. Step 5: Solve for x
    x = 356,501.90/617.64
  6. Step 6: Final answer
    x = 577.20

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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.