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Finding the Fourth Proportional to 617.78, 852.59 and 355.88

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Solution

The fourth proportional to 617.78, 852.59 and 355.88 is: 491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.78 : 852.59 = 355.88 : x
  2. Step 2: Convert to fraction form
    617.78/852.59 = 355.88/x
  3. Step 3: Cross multiply
    617.78x = 852.59 × 355.88
  4. Step 4: Simplify right side
    617.78x = 303,417.95
  5. Step 5: Solve for x
    x = 303,417.95/617.78
  6. Step 6: Final answer
    x = 491.14

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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.