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Finding the Fourth Proportional to 534.78, 801.36 and 245.70

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Solution

The fourth proportional to 534.78, 801.36 and 245.70 is: 368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.78 : 801.36 = 245.70 : x
  2. Step 2: Convert to fraction form
    534.78/801.36 = 245.70/x
  3. Step 3: Cross multiply
    534.78x = 801.36 × 245.70
  4. Step 4: Simplify right side
    534.78x = 196,894.15
  5. Step 5: Solve for x
    x = 196,894.15/534.78
  6. Step 6: Final answer
    x = 368.18

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Why These Related Problems?

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